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Finding the Fourth Proportional to 123,332.34, 184,842.75 and 102,803.70

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Solution

The fourth proportional to 123,332.34, 184,842.75 and 102,803.70 is: 154,075.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,332.34 : 184,842.75 = 102,803.70 : x
  2. Step 2: Convert to fraction form
    123,332.34/184,842.75 = 102,803.70/x
  3. Step 3: Cross multiply
    123,332.34x = 184,842.75 × 102,803.70
  4. Step 4: Simplify right side
    123,332.34x = 19,002,518,618.18
  5. Step 5: Solve for x
    x = 19,002,518,618.18/123,332.34
  6. Step 6: Final answer
    x = 154,075.72

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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.