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Finding the Fourth Proportional to 165,336, 248,004.12 and 54,528

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Solution

The fourth proportional to 165,336, 248,004.12 and 54,528 is: 81,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,336 : 248,004.12 = 54,528 : x
  2. Step 2: Convert to fraction form
    165,336/248,004.12 = 54,528/x
  3. Step 3: Cross multiply
    165,336x = 248,004.12 × 54,528
  4. Step 4: Simplify right side
    165,336x = 13,523,168,655.36
  5. Step 5: Solve for x
    x = 13,523,168,655.36/165,336
  6. Step 6: Final answer
    x = 81,792.04

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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.