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Finding the Fourth Proportional to 137,713.32, 190,026.10 and 77,281.64

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Solution

The fourth proportional to 137,713.32, 190,026.10 and 77,281.64 is: 106,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,713.32 : 190,026.10 = 77,281.64 : x
  2. Step 2: Convert to fraction form
    137,713.32/190,026.10 = 77,281.64/x
  3. Step 3: Cross multiply
    137,713.32x = 190,026.10 × 77,281.64
  4. Step 4: Simplify right side
    137,713.32x = 14,685,528,650.80
  5. Step 5: Solve for x
    x = 14,685,528,650.80/137,713.32
  6. Step 6: Final answer
    x = 106,638.40

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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.