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Finding the Fourth Proportional to 209,937.60, 314,944.80 and 85,291.20

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Solution

The fourth proportional to 209,937.60, 314,944.80 and 85,291.20 is: 127,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,937.60 : 314,944.80 = 85,291.20 : x
  2. Step 2: Convert to fraction form
    209,937.60/314,944.80 = 85,291.20/x
  3. Step 3: Cross multiply
    209,937.60x = 314,944.80 × 85,291.20
  4. Step 4: Simplify right side
    209,937.60x = 26,862,019,925.76
  5. Step 5: Solve for x
    x = 26,862,019,925.76/209,937.60
  6. Step 6: Final answer
    x = 127,952.40

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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.