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Finding the Fourth Proportional to 152,154.54, 209,902.51 and 98,456.91

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Solution

The fourth proportional to 152,154.54, 209,902.51 and 98,456.91 is: 135,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,154.54 : 209,902.51 = 98,456.91 : x
  2. Step 2: Convert to fraction form
    152,154.54/209,902.51 = 98,456.91/x
  3. Step 3: Cross multiply
    152,154.54x = 209,902.51 × 98,456.91
  4. Step 4: Simplify right side
    152,154.54x = 20,666,352,535.84
  5. Step 5: Solve for x
    x = 20,666,352,535.84/152,154.54
  6. Step 6: Final answer
    x = 135,824.75

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1.5x scale

Why These Related Problems?

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