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Finding the Fourth Proportional to 97,898.30, 146,519.40 and 97,898.30

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Solution

The fourth proportional to 97,898.30, 146,519.40 and 97,898.30 is: 146,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.30 : 146,519.40 = 97,898.30 : x
  2. Step 2: Convert to fraction form
    97,898.30/146,519.40 = 97,898.30/x
  3. Step 3: Cross multiply
    97,898.30x = 146,519.40 × 97,898.30
  4. Step 4: Simplify right side
    97,898.30x = 14,344,000,177.02
  5. Step 5: Solve for x
    x = 14,344,000,177.02/97,898.30
  6. Step 6: Final answer
    x = 146,519.40

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1.5x scale

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.