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Finding the Fourth Proportional to 173,142, 238,950.54 and 97,705.08

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Solution

The fourth proportional to 173,142, 238,950.54 and 97,705.08 is: 134,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,142 : 238,950.54 = 97,705.08 : x
  2. Step 2: Convert to fraction form
    173,142/238,950.54 = 97,705.08/x
  3. Step 3: Cross multiply
    173,142x = 238,950.54 × 97,705.08
  4. Step 4: Simplify right side
    173,142x = 23,346,681,626.74
  5. Step 5: Solve for x
    x = 23,346,681,626.74/173,142
  6. Step 6: Final answer
    x = 134,841.24

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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.