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Finding the Fourth Proportional to 106,498.80, 159,748.20 and 105,807.60

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Solution

The fourth proportional to 106,498.80, 159,748.20 and 105,807.60 is: 158,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,498.80 : 159,748.20 = 105,807.60 : x
  2. Step 2: Convert to fraction form
    106,498.80/159,748.20 = 105,807.60/x
  3. Step 3: Cross multiply
    106,498.80x = 159,748.20 × 105,807.60
  4. Step 4: Simplify right side
    106,498.80x = 16,902,573,646.32
  5. Step 5: Solve for x
    x = 16,902,573,646.32/106,498.80
  6. Step 6: Final answer
    x = 158,711.40

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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.