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Finding the Fourth Proportional to 152,912.40, 229,368.60 and 121,419.60

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Solution

The fourth proportional to 152,912.40, 229,368.60 and 121,419.60 is: 182,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,912.40 : 229,368.60 = 121,419.60 : x
  2. Step 2: Convert to fraction form
    152,912.40/229,368.60 = 121,419.60/x
  3. Step 3: Cross multiply
    152,912.40x = 229,368.60 × 121,419.60
  4. Step 4: Simplify right side
    152,912.40x = 27,849,843,664.56
  5. Step 5: Solve for x
    x = 27,849,843,664.56/152,912.40
  6. Step 6: Final answer
    x = 182,129.40

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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.