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Finding the Fourth Proportional to 270,047.60, 405,071.40 and 164,985.20

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Solution

The fourth proportional to 270,047.60, 405,071.40 and 164,985.20 is: 247,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,047.60 : 405,071.40 = 164,985.20 : x
  2. Step 2: Convert to fraction form
    270,047.60/405,071.40 = 164,985.20/x
  3. Step 3: Cross multiply
    270,047.60x = 405,071.40 × 164,985.20
  4. Step 4: Simplify right side
    270,047.60x = 66,830,785,943.28
  5. Step 5: Solve for x
    x = 66,830,785,943.28/270,047.60
  6. Step 6: Final answer
    x = 247,477.80

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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.