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Finding the Fourth Proportional to 128,999.10, 193,498.65 and 97,506.30

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Solution

The fourth proportional to 128,999.10, 193,498.65 and 97,506.30 is: 146,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,999.10 : 193,498.65 = 97,506.30 : x
  2. Step 2: Convert to fraction form
    128,999.10/193,498.65 = 97,506.30/x
  3. Step 3: Cross multiply
    128,999.10x = 193,498.65 × 97,506.30
  4. Step 4: Simplify right side
    128,999.10x = 18,867,337,416.50
  5. Step 5: Solve for x
    x = 18,867,337,416.50/128,999.10
  6. Step 6: Final answer
    x = 146,259.45

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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.