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Finding the Fourth Proportional to 152,544.98, 210,502.05 and 85,464.02

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Solution

The fourth proportional to 152,544.98, 210,502.05 and 85,464.02 is: 117,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,544.98 : 210,502.05 = 85,464.02 : x
  2. Step 2: Convert to fraction form
    152,544.98/210,502.05 = 85,464.02/x
  3. Step 3: Cross multiply
    152,544.98x = 210,502.05 × 85,464.02
  4. Step 4: Simplify right side
    152,544.98x = 17,990,351,411.24
  5. Step 5: Solve for x
    x = 17,990,351,411.24/152,544.98
  6. Step 6: Final answer
    x = 117,934.73

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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.