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Finding the Fourth Proportional to 109,610.70, 164,070.45 and 106,154.70

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Solution

The fourth proportional to 109,610.70, 164,070.45 and 106,154.70 is: 158,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,610.70 : 164,070.45 = 106,154.70 : x
  2. Step 2: Convert to fraction form
    109,610.70/164,070.45 = 106,154.70/x
  3. Step 3: Cross multiply
    109,610.70x = 164,070.45 × 106,154.70
  4. Step 4: Simplify right side
    109,610.70x = 17,416,849,398.62
  5. Step 5: Solve for x
    x = 17,416,849,398.62/109,610.70
  6. Step 6: Final answer
    x = 158,897.35

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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.