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Finding the Fourth Proportional to 186,463.62, 257,312.19 and 113,987.86

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Solution

The fourth proportional to 186,463.62, 257,312.19 and 113,987.86 is: 157,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,463.62 : 257,312.19 = 113,987.86 : x
  2. Step 2: Convert to fraction form
    186,463.62/257,312.19 = 113,987.86/x
  3. Step 3: Cross multiply
    186,463.62x = 257,312.19 × 113,987.86
  4. Step 4: Simplify right side
    186,463.62x = 29,330,465,674.19
  5. Step 5: Solve for x
    x = 29,330,465,674.19/186,463.62
  6. Step 6: Final answer
    x = 157,298.60

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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.