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Finding the Fourth Proportional to 105,185.76, 157,867.80 and 42,050.46

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Solution

The fourth proportional to 105,185.76, 157,867.80 and 42,050.46 is: 63,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,185.76 : 157,867.80 = 42,050.46 : x
  2. Step 2: Convert to fraction form
    105,185.76/157,867.80 = 42,050.46/x
  3. Step 3: Cross multiply
    105,185.76x = 157,867.80 × 42,050.46
  4. Step 4: Simplify right side
    105,185.76x = 6,638,413,609.19
  5. Step 5: Solve for x
    x = 6,638,413,609.19/105,185.76
  6. Step 6: Final answer
    x = 63,111.33

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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.