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Finding the Fourth Proportional to 178,004, 245,646.24 and 98,516

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Solution

The fourth proportional to 178,004, 245,646.24 and 98,516 is: 135,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,004 : 245,646.24 = 98,516 : x
  2. Step 2: Convert to fraction form
    178,004/245,646.24 = 98,516/x
  3. Step 3: Cross multiply
    178,004x = 245,646.24 × 98,516
  4. Step 4: Simplify right side
    178,004x = 24,200,084,979.84
  5. Step 5: Solve for x
    x = 24,200,084,979.84/178,004
  6. Step 6: Final answer
    x = 135,952.48

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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.