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Finding the Fourth Proportional to 282,656.25, 424,178.78 and 116,444.25

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Solution

The fourth proportional to 282,656.25, 424,178.78 and 116,444.25 is: 174,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,656.25 : 424,178.78 = 116,444.25 : x
  2. Step 2: Convert to fraction form
    282,656.25/424,178.78 = 116,444.25/x
  3. Step 3: Cross multiply
    282,656.25x = 424,178.78 × 116,444.25
  4. Step 4: Simplify right side
    282,656.25x = 49,393,179,320.79
  5. Step 5: Solve for x
    x = 49,393,179,320.79/282,656.25
  6. Step 6: Final answer
    x = 174,746.46

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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.