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Finding the Fourth Proportional to 97,312.30, 145,968.45 and 84,190.30

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Solution

The fourth proportional to 97,312.30, 145,968.45 and 84,190.30 is: 126,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,312.30 : 145,968.45 = 84,190.30 : x
  2. Step 2: Convert to fraction form
    97,312.30/145,968.45 = 84,190.30/x
  3. Step 3: Cross multiply
    97,312.30x = 145,968.45 × 84,190.30
  4. Step 4: Simplify right side
    97,312.30x = 12,289,127,596.04
  5. Step 5: Solve for x
    x = 12,289,127,596.04/97,312.30
  6. Step 6: Final answer
    x = 126,285.45

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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.