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Finding the Fourth Proportional to 105,999.30, 148,595.85 and 105,999.30

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Solution

The fourth proportional to 105,999.30, 148,595.85 and 105,999.30 is: 148,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.30 : 148,595.85 = 105,999.30 : x
  2. Step 2: Convert to fraction form
    105,999.30/148,595.85 = 105,999.30/x
  3. Step 3: Cross multiply
    105,999.30x = 148,595.85 × 105,999.30
  4. Step 4: Simplify right side
    105,999.30x = 15,751,056,082.91
  5. Step 5: Solve for x
    x = 15,751,056,082.91/105,999.30
  6. Step 6: Final answer
    x = 148,595.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.