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Finding the Fourth Proportional to 142,792.86, 214,187.70 and 58,534.20

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Solution

The fourth proportional to 142,792.86, 214,187.70 and 58,534.20 is: 87,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792.86 : 214,187.70 = 58,534.20 : x
  2. Step 2: Convert to fraction form
    142,792.86/214,187.70 = 58,534.20/x
  3. Step 3: Cross multiply
    142,792.86x = 214,187.70 × 58,534.20
  4. Step 4: Simplify right side
    142,792.86x = 12,537,305,669.34
  5. Step 5: Solve for x
    x = 12,537,305,669.34/142,792.86
  6. Step 6: Final answer
    x = 87,800.65

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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.