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Finding the Fourth Proportional to 142,005.40, 212,927.10 and 53,261.80

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Solution

The fourth proportional to 142,005.40, 212,927.10 and 53,261.80 is: 79,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,005.40 : 212,927.10 = 53,261.80 : x
  2. Step 2: Convert to fraction form
    142,005.40/212,927.10 = 53,261.80/x
  3. Step 3: Cross multiply
    142,005.40x = 212,927.10 × 53,261.80
  4. Step 4: Simplify right side
    142,005.40x = 11,340,880,614.78
  5. Step 5: Solve for x
    x = 11,340,880,614.78/142,005.40
  6. Step 6: Final answer
    x = 79,862.32

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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.