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Finding the Fourth Proportional to 142,492.77, 213,904.80 and 83,370.87

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Solution

The fourth proportional to 142,492.77, 213,904.80 and 83,370.87 is: 125,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,492.77 : 213,904.80 = 83,370.87 : x
  2. Step 2: Convert to fraction form
    142,492.77/213,904.80 = 83,370.87/x
  3. Step 3: Cross multiply
    142,492.77x = 213,904.80 × 83,370.87
  4. Step 4: Simplify right side
    142,492.77x = 17,833,429,273.18
  5. Step 5: Solve for x
    x = 17,833,429,273.18/142,492.77
  6. Step 6: Final answer
    x = 125,153.22

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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.