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Finding the Fourth Proportional to 105,295.14, 145,305.03 and 59,354.46

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Solution

The fourth proportional to 105,295.14, 145,305.03 and 59,354.46 is: 81,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.14 : 145,305.03 = 59,354.46 : x
  2. Step 2: Convert to fraction form
    105,295.14/145,305.03 = 59,354.46/x
  3. Step 3: Cross multiply
    105,295.14x = 145,305.03 × 59,354.46
  4. Step 4: Simplify right side
    105,295.14x = 8,624,501,590.93
  5. Step 5: Solve for x
    x = 8,624,501,590.93/105,295.14
  6. Step 6: Final answer
    x = 81,907.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.