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Finding the Fourth Proportional to 282,927.84, 424,331.80 and 83,194.08

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Solution

The fourth proportional to 282,927.84, 424,331.80 and 83,194.08 is: 124,773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,927.84 : 424,331.80 = 83,194.08 : x
  2. Step 2: Convert to fraction form
    282,927.84/424,331.80 = 83,194.08/x
  3. Step 3: Cross multiply
    282,927.84x = 424,331.80 × 83,194.08
  4. Step 4: Simplify right side
    282,927.84x = 35,301,893,715.74
  5. Step 5: Solve for x
    x = 35,301,893,715.74/282,927.84
  6. Step 6: Final answer
    x = 124,773.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.