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Finding the Fourth Proportional to 186,953.59, 257,983.95 and 102,070.45

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Solution

The fourth proportional to 186,953.59, 257,983.95 and 102,070.45 is: 140,850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,953.59 : 257,983.95 = 102,070.45 : x
  2. Step 2: Convert to fraction form
    186,953.59/257,983.95 = 102,070.45/x
  3. Step 3: Cross multiply
    186,953.59x = 257,983.95 × 102,070.45
  4. Step 4: Simplify right side
    186,953.59x = 26,332,537,869.28
  5. Step 5: Solve for x
    x = 26,332,537,869.28/186,953.59
  6. Step 6: Final answer
    x = 140,850.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.