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Finding the Fourth Proportional to 292,036.71, 438,053.08 and 157,164.25

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Solution

The fourth proportional to 292,036.71, 438,053.08 and 157,164.25 is: 235,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,036.71 : 438,053.08 = 157,164.25 : x
  2. Step 2: Convert to fraction form
    292,036.71/438,053.08 = 157,164.25/x
  3. Step 3: Cross multiply
    292,036.71x = 438,053.08 × 157,164.25
  4. Step 4: Simplify right side
    292,036.71x = 68,846,281,588.12
  5. Step 5: Solve for x
    x = 68,846,281,588.12/292,036.71
  6. Step 6: Final answer
    x = 235,745.30

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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.