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Finding the Fourth Proportional to 102,565.60, 153,848.40 and 94,616.80

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Solution

The fourth proportional to 102,565.60, 153,848.40 and 94,616.80 is: 141,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,565.60 : 153,848.40 = 94,616.80 : x
  2. Step 2: Convert to fraction form
    102,565.60/153,848.40 = 94,616.80/x
  3. Step 3: Cross multiply
    102,565.60x = 153,848.40 × 94,616.80
  4. Step 4: Simplify right side
    102,565.60x = 14,556,643,293.12
  5. Step 5: Solve for x
    x = 14,556,643,293.12/102,565.60
  6. Step 6: Final answer
    x = 141,925.20

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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.