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Finding the Fourth Proportional to 282,149.95, 389,366.39 and 153,088.39

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Solution

The fourth proportional to 282,149.95, 389,366.39 and 153,088.39 is: 211,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,149.95 : 389,366.39 = 153,088.39 : x
  2. Step 2: Convert to fraction form
    282,149.95/389,366.39 = 153,088.39/x
  3. Step 3: Cross multiply
    282,149.95x = 389,366.39 × 153,088.39
  4. Step 4: Simplify right side
    282,149.95x = 59,607,471,818.38
  5. Step 5: Solve for x
    x = 59,607,471,818.38/282,149.95
  6. Step 6: Final answer
    x = 211,261.68

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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.