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Finding the Fourth Proportional to 282,762.22, 424,210.97 and 83,078.19

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Solution

The fourth proportional to 282,762.22, 424,210.97 and 83,078.19 is: 124,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762.22 : 424,210.97 = 83,078.19 : x
  2. Step 2: Convert to fraction form
    282,762.22/424,210.97 = 83,078.19/x
  3. Step 3: Cross multiply
    282,762.22x = 424,210.97 × 83,078.19
  4. Step 4: Simplify right side
    282,762.22x = 35,242,677,029.30
  5. Step 5: Solve for x
    x = 35,242,677,029.30/282,762.22
  6. Step 6: Final answer
    x = 124,637.15

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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.