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Finding the Fourth Proportional to 152,749, 210,794.34 and 85,681

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Solution

The fourth proportional to 152,749, 210,794.34 and 85,681 is: 118,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,749 : 210,794.34 = 85,681 : x
  2. Step 2: Convert to fraction form
    152,749/210,794.34 = 85,681/x
  3. Step 3: Cross multiply
    152,749x = 210,794.34 × 85,681
  4. Step 4: Simplify right side
    152,749x = 18,061,069,845.54
  5. Step 5: Solve for x
    x = 18,061,069,845.54/152,749
  6. Step 6: Final answer
    x = 118,240.18

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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.