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Finding the Fourth Proportional to 292,355.84, 438,497.30 and 82,010.18

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Solution

The fourth proportional to 292,355.84, 438,497.30 and 82,010.18 is: 123,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,355.84 : 438,497.30 = 82,010.18 : x
  2. Step 2: Convert to fraction form
    292,355.84/438,497.30 = 82,010.18/x
  3. Step 3: Cross multiply
    292,355.84x = 438,497.30 × 82,010.18
  4. Step 4: Simplify right side
    292,355.84x = 35,961,242,502.51
  5. Step 5: Solve for x
    x = 35,961,242,502.51/292,355.84
  6. Step 6: Final answer
    x = 123,005.04

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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.