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Finding the Fourth Proportional to 98,624.16, 147,892.48 and 61,182.72

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Solution

The fourth proportional to 98,624.16, 147,892.48 and 61,182.72 is: 91,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,624.16 : 147,892.48 = 61,182.72 : x
  2. Step 2: Convert to fraction form
    98,624.16/147,892.48 = 61,182.72/x
  3. Step 3: Cross multiply
    98,624.16x = 147,892.48 × 61,182.72
  4. Step 4: Simplify right side
    98,624.16x = 9,048,464,193.95
  5. Step 5: Solve for x
    x = 9,048,464,193.95/98,624.16
  6. Step 6: Final answer
    x = 91,746.93

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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.