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Finding the Fourth Proportional to 142,134.32, 213,156.12 and 57,894.32

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Solution

The fourth proportional to 142,134.32, 213,156.12 and 57,894.32 is: 86,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134.32 : 213,156.12 = 57,894.32 : x
  2. Step 2: Convert to fraction form
    142,134.32/213,156.12 = 57,894.32/x
  3. Step 3: Cross multiply
    142,134.32x = 213,156.12 × 57,894.32
  4. Step 4: Simplify right side
    142,134.32x = 12,340,528,621.24
  5. Step 5: Solve for x
    x = 12,340,528,621.24/142,134.32
  6. Step 6: Final answer
    x = 86,823.00

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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.