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Finding the Fourth Proportional to 282,498.73, 389,851.10 and 153,438.45

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Solution

The fourth proportional to 282,498.73, 389,851.10 and 153,438.45 is: 211,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,498.73 : 389,851.10 = 153,438.45 : x
  2. Step 2: Convert to fraction form
    282,498.73/389,851.10 = 153,438.45/x
  3. Step 3: Cross multiply
    282,498.73x = 389,851.10 × 153,438.45
  4. Step 4: Simplify right side
    282,498.73x = 59,818,146,861.06
  5. Step 5: Solve for x
    x = 59,818,146,861.06/282,498.73
  6. Step 6: Final answer
    x = 211,746.61

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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.