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Finding the Fourth Proportional to 177,643.10, 266,075.85 and 154,315.10

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Solution

The fourth proportional to 177,643.10, 266,075.85 and 154,315.10 is: 231,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,643.10 : 266,075.85 = 154,315.10 : x
  2. Step 2: Convert to fraction form
    177,643.10/266,075.85 = 154,315.10/x
  3. Step 3: Cross multiply
    177,643.10x = 266,075.85 × 154,315.10
  4. Step 4: Simplify right side
    177,643.10x = 41,059,521,400.34
  5. Step 5: Solve for x
    x = 41,059,521,400.34/177,643.10
  6. Step 6: Final answer
    x = 231,134.91

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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.