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Finding the Fourth Proportional to 109,665.60, 164,498.40 and 101,792.40

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Solution

The fourth proportional to 109,665.60, 164,498.40 and 101,792.40 is: 152,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,665.60 : 164,498.40 = 101,792.40 : x
  2. Step 2: Convert to fraction form
    109,665.60/164,498.40 = 101,792.40/x
  3. Step 3: Cross multiply
    109,665.60x = 164,498.40 × 101,792.40
  4. Step 4: Simplify right side
    109,665.60x = 16,744,686,932.16
  5. Step 5: Solve for x
    x = 16,744,686,932.16/109,665.60
  6. Step 6: Final answer
    x = 152,688.60

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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.