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Finding the Fourth Proportional to 223,257.17, 307,916.71 and 146,854.73

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Solution

The fourth proportional to 223,257.17, 307,916.71 and 146,854.73 is: 202,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,257.17 : 307,916.71 = 146,854.73 : x
  2. Step 2: Convert to fraction form
    223,257.17/307,916.71 = 146,854.73/x
  3. Step 3: Cross multiply
    223,257.17x = 307,916.71 × 146,854.73
  4. Step 4: Simplify right side
    223,257.17x = 45,219,023,402.82
  5. Step 5: Solve for x
    x = 45,219,023,402.82/223,257.17
  6. Step 6: Final answer
    x = 202,542.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.