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Finding the Fourth Proportional to 152,856.30, 229,284.45 and 42,048.30

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Solution

The fourth proportional to 152,856.30, 229,284.45 and 42,048.30 is: 63,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,856.30 : 229,284.45 = 42,048.30 : x
  2. Step 2: Convert to fraction form
    152,856.30/229,284.45 = 42,048.30/x
  3. Step 3: Cross multiply
    152,856.30x = 229,284.45 × 42,048.30
  4. Step 4: Simplify right side
    152,856.30x = 9,641,021,338.94
  5. Step 5: Solve for x
    x = 9,641,021,338.94/152,856.30
  6. Step 6: Final answer
    x = 63,072.45

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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.