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Finding the Fourth Proportional to 138,370.34, 190,929.98 and 77,937.15

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Solution

The fourth proportional to 138,370.34, 190,929.98 and 77,937.15 is: 107,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,370.34 : 190,929.98 = 77,937.15 : x
  2. Step 2: Convert to fraction form
    138,370.34/190,929.98 = 77,937.15/x
  3. Step 3: Cross multiply
    138,370.34x = 190,929.98 × 77,937.15
  4. Step 4: Simplify right side
    138,370.34x = 14,880,538,101.07
  5. Step 5: Solve for x
    x = 14,880,538,101.07/138,370.34
  6. Step 6: Final answer
    x = 107,541.39

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