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Finding the Fourth Proportional to 153,008.60, 229,512.90 and 105,769.40

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Solution

The fourth proportional to 153,008.60, 229,512.90 and 105,769.40 is: 158,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,008.60 : 229,512.90 = 105,769.40 : x
  2. Step 2: Convert to fraction form
    153,008.60/229,512.90 = 105,769.40/x
  3. Step 3: Cross multiply
    153,008.60x = 229,512.90 × 105,769.40
  4. Step 4: Simplify right side
    153,008.60x = 24,275,441,725.26
  5. Step 5: Solve for x
    x = 24,275,441,725.26/153,008.60
  6. Step 6: Final answer
    x = 158,654.10

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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.