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Finding the Fourth Proportional to 200,898.04, 301,541.50 and 147,753.40

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Solution

The fourth proportional to 200,898.04, 301,541.50 and 147,753.40 is: 221,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,898.04 : 301,541.50 = 147,753.40 : x
  2. Step 2: Convert to fraction form
    200,898.04/301,541.50 = 147,753.40/x
  3. Step 3: Cross multiply
    200,898.04x = 301,541.50 × 147,753.40
  4. Step 4: Simplify right side
    200,898.04x = 44,553,781,866.10
  5. Step 5: Solve for x
    x = 44,553,781,866.10/200,898.04
  6. Step 6: Final answer
    x = 221,773.10

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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.