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Finding the Fourth Proportional to 102,506.30, 153,759.45 and 98,569.70

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Solution

The fourth proportional to 102,506.30, 153,759.45 and 98,569.70 is: 147,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.30 : 153,759.45 = 98,569.70 : x
  2. Step 2: Convert to fraction form
    102,506.30/153,759.45 = 98,569.70/x
  3. Step 3: Cross multiply
    102,506.30x = 153,759.45 × 98,569.70
  4. Step 4: Simplify right side
    102,506.30x = 15,156,022,858.67
  5. Step 5: Solve for x
    x = 15,156,022,858.67/102,506.30
  6. Step 6: Final answer
    x = 147,854.55

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1.5x scale

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.