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Finding the Fourth Proportional to 105,999.40, 158,999.10 and 74,895.40

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Solution

The fourth proportional to 105,999.40, 158,999.10 and 74,895.40 is: 112,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,999.40 : 158,999.10 = 74,895.40 : x
  2. Step 2: Convert to fraction form
    105,999.40/158,999.10 = 74,895.40/x
  3. Step 3: Cross multiply
    105,999.40x = 158,999.10 × 74,895.40
  4. Step 4: Simplify right side
    105,999.40x = 11,908,301,194.14
  5. Step 5: Solve for x
    x = 11,908,301,194.14/105,999.40
  6. Step 6: Final answer
    x = 112,343.10

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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.