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Finding the Fourth Proportional to 133,817.60, 200,726.40 and 102,713.60

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Solution

The fourth proportional to 133,817.60, 200,726.40 and 102,713.60 is: 154,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817.60 : 200,726.40 = 102,713.60 : x
  2. Step 2: Convert to fraction form
    133,817.60/200,726.40 = 102,713.60/x
  3. Step 3: Cross multiply
    133,817.60x = 200,726.40 × 102,713.60
  4. Step 4: Simplify right side
    133,817.60x = 20,617,331,159.04
  5. Step 5: Solve for x
    x = 20,617,331,159.04/133,817.60
  6. Step 6: Final answer
    x = 154,070.40

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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.