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Finding the Fourth Proportional to 99,342, 149,013.36 and 94,358.88

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Solution

The fourth proportional to 99,342, 149,013.36 and 94,358.88 is: 141,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,342 : 149,013.36 = 94,358.88 : x
  2. Step 2: Convert to fraction form
    99,342/149,013.36 = 94,358.88/x
  3. Step 3: Cross multiply
    99,342x = 149,013.36 × 94,358.88
  4. Step 4: Simplify right side
    99,342x = 14,060,733,754.64
  5. Step 5: Solve for x
    x = 14,060,733,754.64/99,342
  6. Step 6: Final answer
    x = 141,538.66

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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.