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Finding the Fourth Proportional to 142,670.96, 214,005.92 and 42,830.72

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Solution

The fourth proportional to 142,670.96, 214,005.92 and 42,830.72 is: 64,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,670.96 : 214,005.92 = 42,830.72 : x
  2. Step 2: Convert to fraction form
    142,670.96/214,005.92 = 42,830.72/x
  3. Step 3: Cross multiply
    142,670.96x = 214,005.92 × 42,830.72
  4. Step 4: Simplify right side
    142,670.96x = 9,166,027,637.86
  5. Step 5: Solve for x
    x = 9,166,027,637.86/142,670.96
  6. Step 6: Final answer
    x = 64,245.92

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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.