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Finding the Fourth Proportional to 218,417.19, 301,508.73 and 146,838.73

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Solution

The fourth proportional to 218,417.19, 301,508.73 and 146,838.73 is: 202,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,417.19 : 301,508.73 = 146,838.73 : x
  2. Step 2: Convert to fraction form
    218,417.19/301,508.73 = 146,838.73/x
  3. Step 3: Cross multiply
    218,417.19x = 301,508.73 × 146,838.73
  4. Step 4: Simplify right side
    218,417.19x = 44,273,158,243.34
  5. Step 5: Solve for x
    x = 44,273,158,243.34/218,417.19
  6. Step 6: Final answer
    x = 202,699.97

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