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Finding the Fourth Proportional to 151,684.32, 209,328.39 and 83,702.10

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Solution

The fourth proportional to 151,684.32, 209,328.39 and 83,702.10 is: 115,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684.32 : 209,328.39 = 83,702.10 : x
  2. Step 2: Convert to fraction form
    151,684.32/209,328.39 = 83,702.10/x
  3. Step 3: Cross multiply
    151,684.32x = 209,328.39 × 83,702.10
  4. Step 4: Simplify right side
    151,684.32x = 17,521,225,832.62
  5. Step 5: Solve for x
    x = 17,521,225,832.62/151,684.32
  6. Step 6: Final answer
    x = 115,511.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.