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Finding the Fourth Proportional to 210,856.74, 316,285.11 and 61,097.13

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Solution

The fourth proportional to 210,856.74, 316,285.11 and 61,097.13 is: 91,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,856.74 : 316,285.11 = 61,097.13 : x
  2. Step 2: Convert to fraction form
    210,856.74/316,285.11 = 61,097.13/x
  3. Step 3: Cross multiply
    210,856.74x = 316,285.11 × 61,097.13
  4. Step 4: Simplify right side
    210,856.74x = 19,324,112,482.73
  5. Step 5: Solve for x
    x = 19,324,112,482.73/210,856.74
  6. Step 6: Final answer
    x = 91,645.70

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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.