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Finding the Fourth Proportional to 142,465.68, 196,764 and 97,064.88

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Solution

The fourth proportional to 142,465.68, 196,764 and 97,064.88 is: 134,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,465.68 : 196,764 = 97,064.88 : x
  2. Step 2: Convert to fraction form
    142,465.68/196,764 = 97,064.88/x
  3. Step 3: Cross multiply
    142,465.68x = 196,764 × 97,064.88
  4. Step 4: Simplify right side
    142,465.68x = 19,098,874,048.32
  5. Step 5: Solve for x
    x = 19,098,874,048.32/142,465.68
  6. Step 6: Final answer
    x = 134,059.47

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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.