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Finding the Fourth Proportional to 359,020.07, 538,530.11 and 109,699.91

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Solution

The fourth proportional to 359,020.07, 538,530.11 and 109,699.91 is: 164,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,020.07 : 538,530.11 = 109,699.91 : x
  2. Step 2: Convert to fraction form
    359,020.07/538,530.11 = 109,699.91/x
  3. Step 3: Cross multiply
    359,020.07x = 538,530.11 × 109,699.91
  4. Step 4: Simplify right side
    359,020.07x = 59,076,704,599.29
  5. Step 5: Solve for x
    x = 59,076,704,599.29/359,020.07
  6. Step 6: Final answer
    x = 164,549.87

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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.