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Finding the Fourth Proportional to 110,357, 152,282.13 and 61,947.85

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Solution

The fourth proportional to 110,357, 152,282.13 and 61,947.85 is: 85,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357 : 152,282.13 = 61,947.85 : x
  2. Step 2: Convert to fraction form
    110,357/152,282.13 = 61,947.85/x
  3. Step 3: Cross multiply
    110,357x = 152,282.13 × 61,947.85
  4. Step 4: Simplify right side
    110,357x = 9,433,549,785.51
  5. Step 5: Solve for x
    x = 9,433,549,785.51/110,357
  6. Step 6: Final answer
    x = 85,482.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.