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Finding the Fourth Proportional to 233,439.65, 322,133.51 and 137,955.23

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Solution

The fourth proportional to 233,439.65, 322,133.51 and 137,955.23 is: 190,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,439.65 : 322,133.51 = 137,955.23 : x
  2. Step 2: Convert to fraction form
    233,439.65/322,133.51 = 137,955.23/x
  3. Step 3: Cross multiply
    233,439.65x = 322,133.51 × 137,955.23
  4. Step 4: Simplify right side
    233,439.65x = 44,440,001,772.98
  5. Step 5: Solve for x
    x = 44,440,001,772.98/233,439.65
  6. Step 6: Final answer
    x = 190,370.41

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1.5x scale

Why These Related Problems?

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