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Finding the Fourth Proportional to 102,585.60, 153,528.30 and 85,964.40

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Solution

The fourth proportional to 102,585.60, 153,528.30 and 85,964.40 is: 128,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585.60 : 153,528.30 = 85,964.40 : x
  2. Step 2: Convert to fraction form
    102,585.60/153,528.30 = 85,964.40/x
  3. Step 3: Cross multiply
    102,585.60x = 153,528.30 × 85,964.40
  4. Step 4: Simplify right side
    102,585.60x = 13,197,968,192.52
  5. Step 5: Solve for x
    x = 13,197,968,192.52/102,585.60
  6. Step 6: Final answer
    x = 128,653.22

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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.