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Finding the Fourth Proportional to 186,683.76, 257,624.76 and 101,802.24

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Solution

The fourth proportional to 186,683.76, 257,624.76 and 101,802.24 is: 140,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,683.76 : 257,624.76 = 101,802.24 : x
  2. Step 2: Convert to fraction form
    186,683.76/257,624.76 = 101,802.24/x
  3. Step 3: Cross multiply
    186,683.76x = 257,624.76 × 101,802.24
  4. Step 4: Simplify right side
    186,683.76x = 26,226,777,647.46
  5. Step 5: Solve for x
    x = 26,226,777,647.46/186,683.76
  6. Step 6: Final answer
    x = 140,487.73

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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.