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Finding the Fourth Proportional to 158,703.18, 238,048.29 and 65,206.50

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Solution

The fourth proportional to 158,703.18, 238,048.29 and 65,206.50 is: 97,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,703.18 : 238,048.29 = 65,206.50 : x
  2. Step 2: Convert to fraction form
    158,703.18/238,048.29 = 65,206.50/x
  3. Step 3: Cross multiply
    158,703.18x = 238,048.29 × 65,206.50
  4. Step 4: Simplify right side
    158,703.18x = 15,522,295,821.89
  5. Step 5: Solve for x
    x = 15,522,295,821.89/158,703.18
  6. Step 6: Final answer
    x = 97,807.09

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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.