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Finding the Fourth Proportional to 142,972.32, 197,352.88 and 97,617.76

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Solution

The fourth proportional to 142,972.32, 197,352.88 and 97,617.76 is: 134,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,972.32 : 197,352.88 = 97,617.76 : x
  2. Step 2: Convert to fraction form
    142,972.32/197,352.88 = 97,617.76/x
  3. Step 3: Cross multiply
    142,972.32x = 197,352.88 × 97,617.76
  4. Step 4: Simplify right side
    142,972.32x = 19,265,146,075.15
  5. Step 5: Solve for x
    x = 19,265,146,075.15/142,972.32
  6. Step 6: Final answer
    x = 134,747.38

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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.