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Finding the Fourth Proportional to 99,307.46, 148,961.14 and 29,186.76

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Solution

The fourth proportional to 99,307.46, 148,961.14 and 29,186.76 is: 43,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,307.46 : 148,961.14 = 29,186.76 : x
  2. Step 2: Convert to fraction form
    99,307.46/148,961.14 = 29,186.76/x
  3. Step 3: Cross multiply
    99,307.46x = 148,961.14 × 29,186.76
  4. Step 4: Simplify right side
    99,307.46x = 4,347,693,042.51
  5. Step 5: Solve for x
    x = 4,347,693,042.51/99,307.46
  6. Step 6: Final answer
    x = 43,780.13

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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.