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Finding the Fourth Proportional to 97,695.40, 146,543.10 and 97,004.20

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Solution

The fourth proportional to 97,695.40, 146,543.10 and 97,004.20 is: 145,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,695.40 : 146,543.10 = 97,004.20 : x
  2. Step 2: Convert to fraction form
    97,695.40/146,543.10 = 97,004.20/x
  3. Step 3: Cross multiply
    97,695.40x = 146,543.10 × 97,004.20
  4. Step 4: Simplify right side
    97,695.40x = 14,215,296,181.02
  5. Step 5: Solve for x
    x = 14,215,296,181.02/97,695.40
  6. Step 6: Final answer
    x = 145,506.30

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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.