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Finding the Fourth Proportional to 292,358.84, 438,501.81 and 82,013.18

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Solution

The fourth proportional to 292,358.84, 438,501.81 and 82,013.18 is: 123,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,358.84 : 438,501.81 = 82,013.18 : x
  2. Step 2: Convert to fraction form
    292,358.84/438,501.81 = 82,013.18/x
  3. Step 3: Cross multiply
    292,358.84x = 438,501.81 × 82,013.18
  4. Step 4: Simplify right side
    292,358.84x = 35,962,927,873.86
  5. Step 5: Solve for x
    x = 35,962,927,873.86/292,358.84
  6. Step 6: Final answer
    x = 123,009.54

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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.