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Finding the Fourth Proportional to 164,657.14, 227,132.10 and 99,200.50

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Solution

The fourth proportional to 164,657.14, 227,132.10 and 99,200.50 is: 136,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.14 : 227,132.10 = 99,200.50 : x
  2. Step 2: Convert to fraction form
    164,657.14/227,132.10 = 99,200.50/x
  3. Step 3: Cross multiply
    164,657.14x = 227,132.10 × 99,200.50
  4. Step 4: Simplify right side
    164,657.14x = 22,531,617,886.05
  5. Step 5: Solve for x
    x = 22,531,617,886.05/164,657.14
  6. Step 6: Final answer
    x = 136,839.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.