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Finding the Fourth Proportional to 142,035.47, 213,082.36 and 42,186.77

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Solution

The fourth proportional to 142,035.47, 213,082.36 and 42,186.77 is: 63,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,035.47 : 213,082.36 = 42,186.77 : x
  2. Step 2: Convert to fraction form
    142,035.47/213,082.36 = 42,186.77/x
  3. Step 3: Cross multiply
    142,035.47x = 213,082.36 × 42,186.77
  4. Step 4: Simplify right side
    142,035.47x = 8,989,255,341.50
  5. Step 5: Solve for x
    x = 8,989,255,341.50/142,035.47
  6. Step 6: Final answer
    x = 63,288.81

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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.