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Finding the Fourth Proportional to 286,035.42, 429,116.92 and 93,918.41

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Solution

The fourth proportional to 286,035.42, 429,116.92 and 93,918.41 is: 140,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,035.42 : 429,116.92 = 93,918.41 : x
  2. Step 2: Convert to fraction form
    286,035.42/429,116.92 = 93,918.41/x
  3. Step 3: Cross multiply
    286,035.42x = 429,116.92 × 93,918.41
  4. Step 4: Simplify right side
    286,035.42x = 40,301,976,450.12
  5. Step 5: Solve for x
    x = 40,301,976,450.12/286,035.42
  6. Step 6: Final answer
    x = 140,898.55

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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.