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Finding the Fourth Proportional to 105,394.81, 158,092.49 and 43,065.31

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Solution

The fourth proportional to 105,394.81, 158,092.49 and 43,065.31 is: 64,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,394.81 : 158,092.49 = 43,065.31 : x
  2. Step 2: Convert to fraction form
    105,394.81/158,092.49 = 43,065.31/x
  3. Step 3: Cross multiply
    105,394.81x = 158,092.49 × 43,065.31
  4. Step 4: Simplify right side
    105,394.81x = 6,808,301,875.20
  5. Step 5: Solve for x
    x = 6,808,301,875.20/105,394.81
  6. Step 6: Final answer
    x = 64,598.08

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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.