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Finding the Fourth Proportional to 282,968.98, 424,456.80 and 112,232.32

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Solution

The fourth proportional to 282,968.98, 424,456.80 and 112,232.32 is: 168,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,968.98 : 424,456.80 = 112,232.32 : x
  2. Step 2: Convert to fraction form
    282,968.98/424,456.80 = 112,232.32/x
  3. Step 3: Cross multiply
    282,968.98x = 424,456.80 × 112,232.32
  4. Step 4: Simplify right side
    282,968.98x = 47,637,771,403.78
  5. Step 5: Solve for x
    x = 47,637,771,403.78/282,968.98
  6. Step 6: Final answer
    x = 168,349.80

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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.