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Finding the Fourth Proportional to 266,075.38, 398,901.15 and 153,628.04

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Solution

The fourth proportional to 266,075.38, 398,901.15 and 153,628.04 is: 230,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,075.38 : 398,901.15 = 153,628.04 : x
  2. Step 2: Convert to fraction form
    266,075.38/398,901.15 = 153,628.04/x
  3. Step 3: Cross multiply
    266,075.38x = 398,901.15 × 153,628.04
  4. Step 4: Simplify right side
    266,075.38x = 61,282,401,828.25
  5. Step 5: Solve for x
    x = 61,282,401,828.25/266,075.38
  6. Step 6: Final answer
    x = 230,319.70

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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.