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Finding the Fourth Proportional to 359,184, 538,797.60 and 109,868.16

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Solution

The fourth proportional to 359,184, 538,797.60 and 109,868.16 is: 164,808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,184 : 538,797.60 = 109,868.16 : x
  2. Step 2: Convert to fraction form
    359,184/538,797.60 = 109,868.16/x
  3. Step 3: Cross multiply
    359,184x = 538,797.60 × 109,868.16
  4. Step 4: Simplify right side
    359,184x = 59,196,700,924.42
  5. Step 5: Solve for x
    x = 59,196,700,924.42/359,184
  6. Step 6: Final answer
    x = 164,808.85

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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.