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Finding the Fourth Proportional to 146,210.40, 201,864.15 and 119,417.22

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Solution

The fourth proportional to 146,210.40, 201,864.15 and 119,417.22 is: 164,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210.40 : 201,864.15 = 119,417.22 : x
  2. Step 2: Convert to fraction form
    146,210.40/201,864.15 = 119,417.22/x
  3. Step 3: Cross multiply
    146,210.40x = 201,864.15 × 119,417.22
  4. Step 4: Simplify right side
    146,210.40x = 24,106,055,610.66
  5. Step 5: Solve for x
    x = 24,106,055,610.66/146,210.40
  6. Step 6: Final answer
    x = 164,872.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.