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Finding the Fourth Proportional to 147,583, 221,374.50 and 49,087

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Solution

The fourth proportional to 147,583, 221,374.50 and 49,087 is: 73,630.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,583 : 221,374.50 = 49,087 : x
  2. Step 2: Convert to fraction form
    147,583/221,374.50 = 49,087/x
  3. Step 3: Cross multiply
    147,583x = 221,374.50 × 49,087
  4. Step 4: Simplify right side
    147,583x = 10,866,610,081.50
  5. Step 5: Solve for x
    x = 10,866,610,081.50/147,583
  6. Step 6: Final answer
    x = 73,630.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.