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Finding the Fourth Proportional to 238,913.20, 358,118.16 and 120,335.32

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Solution

The fourth proportional to 238,913.20, 358,118.16 and 120,335.32 is: 180,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,913.20 : 358,118.16 = 120,335.32 : x
  2. Step 2: Convert to fraction form
    238,913.20/358,118.16 = 120,335.32/x
  3. Step 3: Cross multiply
    238,913.20x = 358,118.16 × 120,335.32
  4. Step 4: Simplify right side
    238,913.20x = 43,094,263,381.41
  5. Step 5: Solve for x
    x = 43,094,263,381.41/238,913.20
  6. Step 6: Final answer
    x = 180,376.23

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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.