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Finding the Fourth Proportional to 238,877.40, 358,316.10 and 96,722.40

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Solution

The fourth proportional to 238,877.40, 358,316.10 and 96,722.40 is: 145,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,877.40 : 358,316.10 = 96,722.40 : x
  2. Step 2: Convert to fraction form
    238,877.40/358,316.10 = 96,722.40/x
  3. Step 3: Cross multiply
    238,877.40x = 358,316.10 × 96,722.40
  4. Step 4: Simplify right side
    238,877.40x = 34,657,193,150.64
  5. Step 5: Solve for x
    x = 34,657,193,150.64/238,877.40
  6. Step 6: Final answer
    x = 145,083.60

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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.