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Finding the Fourth Proportional to 359,075.98, 538,692.81 and 106,376.26

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Solution

The fourth proportional to 359,075.98, 538,692.81 and 106,376.26 is: 159,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,075.98 : 538,692.81 = 106,376.26 : x
  2. Step 2: Convert to fraction form
    359,075.98/538,692.81 = 106,376.26/x
  3. Step 3: Cross multiply
    359,075.98x = 538,692.81 × 106,376.26
  4. Step 4: Simplify right side
    359,075.98x = 57,304,125,069.96
  5. Step 5: Solve for x
    x = 57,304,125,069.96/359,075.98
  6. Step 6: Final answer
    x = 159,587.74

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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.