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Finding the Fourth Proportional to 102,355.20, 153,619.20 and 49,809.60

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Solution

The fourth proportional to 102,355.20, 153,619.20 and 49,809.60 is: 74,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,355.20 : 153,619.20 = 49,809.60 : x
  2. Step 2: Convert to fraction form
    102,355.20/153,619.20 = 49,809.60/x
  3. Step 3: Cross multiply
    102,355.20x = 153,619.20 × 49,809.60
  4. Step 4: Simplify right side
    102,355.20x = 7,651,710,904.32
  5. Step 5: Solve for x
    x = 7,651,710,904.32/102,355.20
  6. Step 6: Final answer
    x = 74,756.45

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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.