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Finding the Fourth Proportional to 152,293.24, 210,171.54 and 85,225.24

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Solution

The fourth proportional to 152,293.24, 210,171.54 and 85,225.24 is: 117,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,293.24 : 210,171.54 = 85,225.24 : x
  2. Step 2: Convert to fraction form
    152,293.24/210,171.54 = 85,225.24/x
  3. Step 3: Cross multiply
    152,293.24x = 210,171.54 × 85,225.24
  4. Step 4: Simplify right side
    152,293.24x = 17,911,919,937.67
  5. Step 5: Solve for x
    x = 17,911,919,937.67/152,293.24
  6. Step 6: Final answer
    x = 117,614.68

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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.