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Finding the Fourth Proportional to 142,038.50, 213,021 and 42,176.07

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Solution

The fourth proportional to 142,038.50, 213,021 and 42,176.07 is: 63,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038.50 : 213,021 = 42,176.07 : x
  2. Step 2: Convert to fraction form
    142,038.50/213,021 = 42,176.07/x
  3. Step 3: Cross multiply
    142,038.50x = 213,021 × 42,176.07
  4. Step 4: Simplify right side
    142,038.50x = 8,984,388,607.47
  5. Step 5: Solve for x
    x = 8,984,388,607.47/142,038.50
  6. Step 6: Final answer
    x = 63,253.19

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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.