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Finding the Fourth Proportional to 186,909.66, 257,938.86 and 102,029.76

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Solution

The fourth proportional to 186,909.66, 257,938.86 and 102,029.76 is: 140,803.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,909.66 : 257,938.86 = 102,029.76 : x
  2. Step 2: Convert to fraction form
    186,909.66/257,938.86 = 102,029.76/x
  3. Step 3: Cross multiply
    186,909.66x = 257,938.86 × 102,029.76
  4. Step 4: Simplify right side
    186,909.66x = 26,317,439,980.47
  5. Step 5: Solve for x
    x = 26,317,439,980.47/186,909.66
  6. Step 6: Final answer
    x = 140,803.00

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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.