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Finding the Fourth Proportional to 209,385.60, 288,956.88 and 113,897.40

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Solution

The fourth proportional to 209,385.60, 288,956.88 and 113,897.40 is: 157,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,385.60 : 288,956.88 = 113,897.40 : x
  2. Step 2: Convert to fraction form
    209,385.60/288,956.88 = 113,897.40/x
  3. Step 3: Cross multiply
    209,385.60x = 288,956.88 × 113,897.40
  4. Step 4: Simplify right side
    209,385.60x = 32,911,437,344.11
  5. Step 5: Solve for x
    x = 32,911,437,344.11/209,385.60
  6. Step 6: Final answer
    x = 157,181.00

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