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Finding the Fourth Proportional to 97,823.10, 146,734.65 and 97,823.10

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Solution

The fourth proportional to 97,823.10, 146,734.65 and 97,823.10 is: 146,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,823.10 : 146,734.65 = 97,823.10 : x
  2. Step 2: Convert to fraction form
    97,823.10/146,734.65 = 97,823.10/x
  3. Step 3: Cross multiply
    97,823.10x = 146,734.65 × 97,823.10
  4. Step 4: Simplify right side
    97,823.10x = 14,354,038,340.42
  5. Step 5: Solve for x
    x = 14,354,038,340.42/97,823.10
  6. Step 6: Final answer
    x = 146,734.65

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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.