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Finding the Fourth Proportional to 158,205, 237,401.04 and 58,435.68

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Solution

The fourth proportional to 158,205, 237,401.04 and 58,435.68 is: 87,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,205 : 237,401.04 = 58,435.68 : x
  2. Step 2: Convert to fraction form
    158,205/237,401.04 = 58,435.68/x
  3. Step 3: Cross multiply
    158,205x = 237,401.04 × 58,435.68
  4. Step 4: Simplify right side
    158,205x = 13,872,691,205.11
  5. Step 5: Solve for x
    x = 13,872,691,205.11/158,205
  6. Step 6: Final answer
    x = 87,688.07

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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.