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Finding the Fourth Proportional to 359,255.75, 538,821.66 and 106,533.32

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Solution

The fourth proportional to 359,255.75, 538,821.66 and 106,533.32 is: 159,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,255.75 : 538,821.66 = 106,533.32 : x
  2. Step 2: Convert to fraction form
    359,255.75/538,821.66 = 106,533.32/x
  3. Step 3: Cross multiply
    359,255.75x = 538,821.66 × 106,533.32
  4. Step 4: Simplify right side
    359,255.75x = 57,402,460,327.71
  5. Step 5: Solve for x
    x = 57,402,460,327.71/359,255.75
  6. Step 6: Final answer
    x = 159,781.60

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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.