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Finding the Fourth Proportional to 137,752.86, 190,118.15 and 76,512.81

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Solution

The fourth proportional to 137,752.86, 190,118.15 and 76,512.81 is: 105,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,752.86 : 190,118.15 = 76,512.81 : x
  2. Step 2: Convert to fraction form
    137,752.86/190,118.15 = 76,512.81/x
  3. Step 3: Cross multiply
    137,752.86x = 190,118.15 × 76,512.81
  4. Step 4: Simplify right side
    137,752.86x = 14,546,473,888.50
  5. Step 5: Solve for x
    x = 14,546,473,888.50/137,752.86
  6. Step 6: Final answer
    x = 105,598.34

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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.