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Finding the Fourth Proportional to 153,378.30, 230,074.65 and 48,200.70

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Solution

The fourth proportional to 153,378.30, 230,074.65 and 48,200.70 is: 72,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,378.30 : 230,074.65 = 48,200.70 : x
  2. Step 2: Convert to fraction form
    153,378.30/230,074.65 = 48,200.70/x
  3. Step 3: Cross multiply
    153,378.30x = 230,074.65 × 48,200.70
  4. Step 4: Simplify right side
    153,378.30x = 11,089,759,182.26
  5. Step 5: Solve for x
    x = 11,089,759,182.26/153,378.30
  6. Step 6: Final answer
    x = 72,303.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.