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Finding the Fourth Proportional to 158,196, 237,352.32 and 83,313.12

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Solution

The fourth proportional to 158,196, 237,352.32 and 83,313.12 is: 125,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,196 : 237,352.32 = 83,313.12 : x
  2. Step 2: Convert to fraction form
    158,196/237,352.32 = 83,313.12/x
  3. Step 3: Cross multiply
    158,196x = 237,352.32 × 83,313.12
  4. Step 4: Simplify right side
    158,196x = 19,774,562,318.44
  5. Step 5: Solve for x
    x = 19,774,562,318.44/158,196
  6. Step 6: Final answer
    x = 125,000.39

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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.