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Finding the Fourth Proportional to 114,041.50, 157,382.13 and 63,740.50

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Solution

The fourth proportional to 114,041.50, 157,382.13 and 63,740.50 is: 87,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041.50 : 157,382.13 = 63,740.50 : x
  2. Step 2: Convert to fraction form
    114,041.50/157,382.13 = 63,740.50/x
  3. Step 3: Cross multiply
    114,041.50x = 157,382.13 × 63,740.50
  4. Step 4: Simplify right side
    114,041.50x = 10,031,615,657.27
  5. Step 5: Solve for x
    x = 10,031,615,657.27/114,041.50
  6. Step 6: Final answer
    x = 87,964.61

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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.