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Finding the Fourth Proportional to 98,953.46, 148,079.81 and 61,531.16

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Solution

The fourth proportional to 98,953.46, 148,079.81 and 61,531.16 is: 92,078.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,953.46 : 148,079.81 = 61,531.16 : x
  2. Step 2: Convert to fraction form
    98,953.46/148,079.81 = 61,531.16/x
  3. Step 3: Cross multiply
    98,953.46x = 148,079.81 × 61,531.16
  4. Step 4: Simplify right side
    98,953.46x = 9,111,521,895.31
  5. Step 5: Solve for x
    x = 9,111,521,895.31/98,953.46
  6. Step 6: Final answer
    x = 92,078.86

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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.