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Finding the Fourth Proportional to 233,184.42, 349,756.48 and 141,976.14

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Solution

The fourth proportional to 233,184.42, 349,756.48 and 141,976.14 is: 212,951.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,184.42 : 349,756.48 = 141,976.14 : x
  2. Step 2: Convert to fraction form
    233,184.42/349,756.48 = 141,976.14/x
  3. Step 3: Cross multiply
    233,184.42x = 349,756.48 × 141,976.14
  4. Step 4: Simplify right side
    233,184.42x = 49,657,075,803.65
  5. Step 5: Solve for x
    x = 49,657,075,803.65/233,184.42
  6. Step 6: Final answer
    x = 212,951.95

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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.