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Finding the Fourth Proportional to 282,976.82, 424,362.51 and 154,988.18

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Solution

The fourth proportional to 282,976.82, 424,362.51 and 154,988.18 is: 232,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,976.82 : 424,362.51 = 154,988.18 : x
  2. Step 2: Convert to fraction form
    282,976.82/424,362.51 = 154,988.18/x
  3. Step 3: Cross multiply
    282,976.82x = 424,362.51 × 154,988.18
  4. Step 4: Simplify right side
    282,976.82x = 65,771,170,963.32
  5. Step 5: Solve for x
    x = 65,771,170,963.32/282,976.82
  6. Step 6: Final answer
    x = 232,426.01

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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.