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Finding the Fourth Proportional to 153,737.56, 230,577.18 and 65,053

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Solution

The fourth proportional to 153,737.56, 230,577.18 and 65,053 is: 97,567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,737.56 : 230,577.18 = 65,053 : x
  2. Step 2: Convert to fraction form
    153,737.56/230,577.18 = 65,053/x
  3. Step 3: Cross multiply
    153,737.56x = 230,577.18 × 65,053
  4. Step 4: Simplify right side
    153,737.56x = 14,999,737,290.54
  5. Step 5: Solve for x
    x = 14,999,737,290.54/153,737.56
  6. Step 6: Final answer
    x = 97,567.16

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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.