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Finding the Fourth Proportional to 269,053.60, 402,802.80 and 164,077.60

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Solution

The fourth proportional to 269,053.60, 402,802.80 and 164,077.60 is: 245,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,053.60 : 402,802.80 = 164,077.60 : x
  2. Step 2: Convert to fraction form
    269,053.60/402,802.80 = 164,077.60/x
  3. Step 3: Cross multiply
    269,053.60x = 402,802.80 × 164,077.60
  4. Step 4: Simplify right side
    269,053.60x = 66,090,916,697.28
  5. Step 5: Solve for x
    x = 66,090,916,697.28/269,053.60
  6. Step 6: Final answer
    x = 245,642.19

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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.