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Finding the Fourth Proportional to 173,382, 260,126.16 and 155,499.66

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Solution

The fourth proportional to 173,382, 260,126.16 and 155,499.66 is: 233,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,382 : 260,126.16 = 155,499.66 : x
  2. Step 2: Convert to fraction form
    173,382/260,126.16 = 155,499.66/x
  3. Step 3: Cross multiply
    173,382x = 260,126.16 × 155,499.66
  4. Step 4: Simplify right side
    173,382x = 40,449,529,437.11
  5. Step 5: Solve for x
    x = 40,449,529,437.11/173,382
  6. Step 6: Final answer
    x = 233,297.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.