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Finding the Fourth Proportional to 116,317.32, 160,578.98 and 78,276.88

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Solution

The fourth proportional to 116,317.32, 160,578.98 and 78,276.88 is: 108,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,317.32 : 160,578.98 = 78,276.88 : x
  2. Step 2: Convert to fraction form
    116,317.32/160,578.98 = 78,276.88/x
  3. Step 3: Cross multiply
    116,317.32x = 160,578.98 × 78,276.88
  4. Step 4: Simplify right side
    116,317.32x = 12,569,621,547.98
  5. Step 5: Solve for x
    x = 12,569,621,547.98/116,317.32
  6. Step 6: Final answer
    x = 108,063.20

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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.