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Finding the Fourth Proportional to 102,209.40, 153,314.10 and 89,087.40

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Solution

The fourth proportional to 102,209.40, 153,314.10 and 89,087.40 is: 133,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,209.40 : 153,314.10 = 89,087.40 : x
  2. Step 2: Convert to fraction form
    102,209.40/153,314.10 = 89,087.40/x
  3. Step 3: Cross multiply
    102,209.40x = 153,314.10 × 89,087.40
  4. Step 4: Simplify right side
    102,209.40x = 13,658,354,552.34
  5. Step 5: Solve for x
    x = 13,658,354,552.34/102,209.40
  6. Step 6: Final answer
    x = 133,631.10

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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.