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Finding the Fourth Proportional to 153,400.50, 230,240.34 and 78,572.16

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Solution

The fourth proportional to 153,400.50, 230,240.34 and 78,572.16 is: 117,929.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,400.50 : 230,240.34 = 78,572.16 : x
  2. Step 2: Convert to fraction form
    153,400.50/230,240.34 = 78,572.16/x
  3. Step 3: Cross multiply
    153,400.50x = 230,240.34 × 78,572.16
  4. Step 4: Simplify right side
    153,400.50x = 18,090,480,832.93
  5. Step 5: Solve for x
    x = 18,090,480,832.93/153,400.50
  6. Step 6: Final answer
    x = 117,929.74

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