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Finding the Fourth Proportional to 106,807.18, 160,070.62 and 78,595.14

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Solution

The fourth proportional to 106,807.18, 160,070.62 and 78,595.14 is: 117,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.18 : 160,070.62 = 78,595.14 : x
  2. Step 2: Convert to fraction form
    106,807.18/160,070.62 = 78,595.14/x
  3. Step 3: Cross multiply
    106,807.18x = 160,070.62 × 78,595.14
  4. Step 4: Simplify right side
    106,807.18x = 12,580,772,788.79
  5. Step 5: Solve for x
    x = 12,580,772,788.79/106,807.18
  6. Step 6: Final answer
    x = 117,789.58

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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.