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Finding the Fourth Proportional to 97,688.80, 146,751.90 and 93,970.90

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Solution

The fourth proportional to 97,688.80, 146,751.90 and 93,970.90 is: 141,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,688.80 : 146,751.90 = 93,970.90 : x
  2. Step 2: Convert to fraction form
    97,688.80/146,751.90 = 93,970.90/x
  3. Step 3: Cross multiply
    97,688.80x = 146,751.90 × 93,970.90
  4. Step 4: Simplify right side
    97,688.80x = 13,790,408,119.71
  5. Step 5: Solve for x
    x = 13,790,408,119.71/97,688.80
  6. Step 6: Final answer
    x = 141,166.73

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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.