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Finding the Fourth Proportional to 102,913.60, 154,370.40 and 85,417.60

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Solution

The fourth proportional to 102,913.60, 154,370.40 and 85,417.60 is: 128,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,913.60 : 154,370.40 = 85,417.60 : x
  2. Step 2: Convert to fraction form
    102,913.60/154,370.40 = 85,417.60/x
  3. Step 3: Cross multiply
    102,913.60x = 154,370.40 × 85,417.60
  4. Step 4: Simplify right side
    102,913.60x = 13,185,949,079.04
  5. Step 5: Solve for x
    x = 13,185,949,079.04/102,913.60
  6. Step 6: Final answer
    x = 128,126.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.