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Finding the Fourth Proportional to 208,585.92, 312,862.52 and 58,820.16

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Solution

The fourth proportional to 208,585.92, 312,862.52 and 58,820.16 is: 88,225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.92 : 312,862.52 = 58,820.16 : x
  2. Step 2: Convert to fraction form
    208,585.92/312,862.52 = 58,820.16/x
  3. Step 3: Cross multiply
    208,585.92x = 312,862.52 × 58,820.16
  4. Step 4: Simplify right side
    208,585.92x = 18,402,623,484.40
  5. Step 5: Solve for x
    x = 18,402,623,484.40/208,585.92
  6. Step 6: Final answer
    x = 88,225.63

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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.