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Finding the Fourth Proportional to 176,284, 243,271.92 and 96,796

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Solution

The fourth proportional to 176,284, 243,271.92 and 96,796 is: 133,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,284 : 243,271.92 = 96,796 : x
  2. Step 2: Convert to fraction form
    176,284/243,271.92 = 96,796/x
  3. Step 3: Cross multiply
    176,284x = 243,271.92 × 96,796
  4. Step 4: Simplify right side
    176,284x = 23,547,748,768.32
  5. Step 5: Solve for x
    x = 23,547,748,768.32/176,284
  6. Step 6: Final answer
    x = 133,578.48

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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.