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Finding the Fourth Proportional to 152,680, 210,698.40 and 85,612

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Solution

The fourth proportional to 152,680, 210,698.40 and 85,612 is: 118,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,680 : 210,698.40 = 85,612 : x
  2. Step 2: Convert to fraction form
    152,680/210,698.40 = 85,612/x
  3. Step 3: Cross multiply
    152,680x = 210,698.40 × 85,612
  4. Step 4: Simplify right side
    152,680x = 18,038,311,420.80
  5. Step 5: Solve for x
    x = 18,038,311,420.80/152,680
  6. Step 6: Final answer
    x = 118,144.56

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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.