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Finding the Fourth Proportional to 158,130.72, 237,224.88 and 75,024

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Solution

The fourth proportional to 158,130.72, 237,224.88 and 75,024 is: 112,549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,130.72 : 237,224.88 = 75,024 : x
  2. Step 2: Convert to fraction form
    158,130.72/237,224.88 = 75,024/x
  3. Step 3: Cross multiply
    158,130.72x = 237,224.88 × 75,024
  4. Step 4: Simplify right side
    158,130.72x = 17,797,559,397.12
  5. Step 5: Solve for x
    x = 17,797,559,397.12/158,130.72
  6. Step 6: Final answer
    x = 112,549.66

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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.