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Finding the Fourth Proportional to 97,999.30, 146,998.95 and 97,308.10

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Solution

The fourth proportional to 97,999.30, 146,998.95 and 97,308.10 is: 145,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,999.30 : 146,998.95 = 97,308.10 : x
  2. Step 2: Convert to fraction form
    97,999.30/146,998.95 = 97,308.10/x
  3. Step 3: Cross multiply
    97,999.30x = 146,998.95 × 97,308.10
  4. Step 4: Simplify right side
    97,999.30x = 14,304,188,526.50
  5. Step 5: Solve for x
    x = 14,304,188,526.50/97,999.30
  6. Step 6: Final answer
    x = 145,962.15

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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.