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Finding the Fourth Proportional to 238,283.44, 328,904.96 and 153,400.50

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Solution

The fourth proportional to 238,283.44, 328,904.96 and 153,400.50 is: 211,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,283.44 : 328,904.96 = 153,400.50 : x
  2. Step 2: Convert to fraction form
    238,283.44/328,904.96 = 153,400.50/x
  3. Step 3: Cross multiply
    238,283.44x = 328,904.96 × 153,400.50
  4. Step 4: Simplify right side
    238,283.44x = 50,454,184,549.48
  5. Step 5: Solve for x
    x = 50,454,184,549.48/238,283.44
  6. Step 6: Final answer
    x = 211,740.21

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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.