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Finding the Fourth Proportional to 147,913, 221,869.50 and 49,417

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Solution

The fourth proportional to 147,913, 221,869.50 and 49,417 is: 74,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,913 : 221,869.50 = 49,417 : x
  2. Step 2: Convert to fraction form
    147,913/221,869.50 = 49,417/x
  3. Step 3: Cross multiply
    147,913x = 221,869.50 × 49,417
  4. Step 4: Simplify right side
    147,913x = 10,964,125,081.50
  5. Step 5: Solve for x
    x = 10,964,125,081.50/147,913
  6. Step 6: Final answer
    x = 74,125.50

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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.