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Finding the Fourth Proportional to 186,897.60, 257,924.80 and 102,019.20

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Solution

The fourth proportional to 186,897.60, 257,924.80 and 102,019.20 is: 140,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,897.60 : 257,924.80 = 102,019.20 : x
  2. Step 2: Convert to fraction form
    186,897.60/257,924.80 = 102,019.20/x
  3. Step 3: Cross multiply
    186,897.60x = 257,924.80 × 102,019.20
  4. Step 4: Simplify right side
    186,897.60x = 26,313,281,756.16
  5. Step 5: Solve for x
    x = 26,313,281,756.16/186,897.60
  6. Step 6: Final answer
    x = 140,789.83

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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.