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Finding the Fourth Proportional to 186,643.72, 257,569.50 and 101,762.20

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Solution

The fourth proportional to 186,643.72, 257,569.50 and 101,762.20 is: 140,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,643.72 : 257,569.50 = 101,762.20 : x
  2. Step 2: Convert to fraction form
    186,643.72/257,569.50 = 101,762.20/x
  3. Step 3: Cross multiply
    186,643.72x = 257,569.50 × 101,762.20
  4. Step 4: Simplify right side
    186,643.72x = 26,210,838,972.90
  5. Step 5: Solve for x
    x = 26,210,838,972.90/186,643.72
  6. Step 6: Final answer
    x = 140,432.47

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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.