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Finding the Fourth Proportional to 157,148.01, 235,744.02 and 50,496.12

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Solution

The fourth proportional to 157,148.01, 235,744.02 and 50,496.12 is: 75,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,148.01 : 235,744.02 = 50,496.12 : x
  2. Step 2: Convert to fraction form
    157,148.01/235,744.02 = 50,496.12/x
  3. Step 3: Cross multiply
    157,148.01x = 235,744.02 × 50,496.12
  4. Step 4: Simplify right side
    157,148.01x = 11,904,158,323.20
  5. Step 5: Solve for x
    x = 11,904,158,323.20/157,148.01
  6. Step 6: Final answer
    x = 75,751.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.