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Finding the Fourth Proportional to 186,900.10, 257,922.51 and 102,017.17

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Solution

The fourth proportional to 186,900.10, 257,922.51 and 102,017.17 is: 140,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,900.10 : 257,922.51 = 102,017.17 : x
  2. Step 2: Convert to fraction form
    186,900.10/257,922.51 = 102,017.17/x
  3. Step 3: Cross multiply
    186,900.10x = 257,922.51 × 102,017.17
  4. Step 4: Simplify right side
    186,900.10x = 26,312,524,549.50
  5. Step 5: Solve for x
    x = 26,312,524,549.50/186,900.10
  6. Step 6: Final answer
    x = 140,783.90

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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.