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Finding the Fourth Proportional to 174,014.40, 260,438.40 and 153,019.20

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Solution

The fourth proportional to 174,014.40, 260,438.40 and 153,019.20 is: 229,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,014.40 : 260,438.40 = 153,019.20 : x
  2. Step 2: Convert to fraction form
    174,014.40/260,438.40 = 153,019.20/x
  3. Step 3: Cross multiply
    174,014.40x = 260,438.40 × 153,019.20
  4. Step 4: Simplify right side
    174,014.40x = 39,852,075,617.28
  5. Step 5: Solve for x
    x = 39,852,075,617.28/174,014.40
  6. Step 6: Final answer
    x = 229,015.96

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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.