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Finding the Fourth Proportional to 359,907.20, 540,047.10 and 146,831.30

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Solution

The fourth proportional to 359,907.20, 540,047.10 and 146,831.30 is: 220,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,907.20 : 540,047.10 = 146,831.30 : x
  2. Step 2: Convert to fraction form
    359,907.20/540,047.10 = 146,831.30/x
  3. Step 3: Cross multiply
    359,907.20x = 540,047.10 × 146,831.30
  4. Step 4: Simplify right side
    359,907.20x = 79,295,817,754.23
  5. Step 5: Solve for x
    x = 79,295,817,754.23/359,907.20
  6. Step 6: Final answer
    x = 220,322.95

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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.