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Finding the Fourth Proportional to 173,140, 238,947.78 and 97,703.08

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Solution

The fourth proportional to 173,140, 238,947.78 and 97,703.08 is: 134,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,140 : 238,947.78 = 97,703.08 : x
  2. Step 2: Convert to fraction form
    173,140/238,947.78 = 97,703.08/x
  3. Step 3: Cross multiply
    173,140x = 238,947.78 × 97,703.08
  4. Step 4: Simplify right side
    173,140x = 23,345,934,065.16
  5. Step 5: Solve for x
    x = 23,345,934,065.16/173,140
  6. Step 6: Final answer
    x = 134,838.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.