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Finding the Fourth Proportional to 212,702.49, 319,052.84 and 86,341.66

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Solution

The fourth proportional to 212,702.49, 319,052.84 and 86,341.66 is: 129,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,702.49 : 319,052.84 = 86,341.66 : x
  2. Step 2: Convert to fraction form
    212,702.49/319,052.84 = 86,341.66/x
  3. Step 3: Cross multiply
    212,702.49x = 319,052.84 × 86,341.66
  4. Step 4: Simplify right side
    212,702.49x = 27,547,550,603.97
  5. Step 5: Solve for x
    x = 27,547,550,603.97/212,702.49
  6. Step 6: Final answer
    x = 129,512.12

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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.