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Finding the Fourth Proportional to 142,582.44, 213,830.46 and 59,457

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Solution

The fourth proportional to 142,582.44, 213,830.46 and 59,457 is: 89,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,582.44 : 213,830.46 = 59,457 : x
  2. Step 2: Convert to fraction form
    142,582.44/213,830.46 = 59,457/x
  3. Step 3: Cross multiply
    142,582.44x = 213,830.46 × 59,457
  4. Step 4: Simplify right side
    142,582.44x = 12,713,717,660.22
  5. Step 5: Solve for x
    x = 12,713,717,660.22/142,582.44
  6. Step 6: Final answer
    x = 89,167.49

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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.