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Finding the Fourth Proportional to 142,667.28, 214,036.50 and 42,829.32

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Solution

The fourth proportional to 142,667.28, 214,036.50 and 42,829.32 is: 64,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,667.28 : 214,036.50 = 42,829.32 : x
  2. Step 2: Convert to fraction form
    142,667.28/214,036.50 = 42,829.32/x
  3. Step 3: Cross multiply
    142,667.28x = 214,036.50 × 42,829.32
  4. Step 4: Simplify right side
    142,667.28x = 9,167,037,750.18
  5. Step 5: Solve for x
    x = 9,167,037,750.18/142,667.28
  6. Step 6: Final answer
    x = 64,254.66

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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.