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Finding the Fourth Proportional to 102,159.76, 153,239.08 and 26,258.24

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Solution

The fourth proportional to 102,159.76, 153,239.08 and 26,258.24 is: 39,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.76 : 153,239.08 = 26,258.24 : x
  2. Step 2: Convert to fraction form
    102,159.76/153,239.08 = 26,258.24/x
  3. Step 3: Cross multiply
    102,159.76x = 153,239.08 × 26,258.24
  4. Step 4: Simplify right side
    102,159.76x = 4,023,788,540.02
  5. Step 5: Solve for x
    x = 4,023,788,540.02/102,159.76
  6. Step 6: Final answer
    x = 39,387.22

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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.