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Finding the Fourth Proportional to 292,214.40, 438,494.40 and 105,201.60

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Solution

The fourth proportional to 292,214.40, 438,494.40 and 105,201.60 is: 157,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,214.40 : 438,494.40 = 105,201.60 : x
  2. Step 2: Convert to fraction form
    292,214.40/438,494.40 = 105,201.60/x
  3. Step 3: Cross multiply
    292,214.40x = 438,494.40 × 105,201.60
  4. Step 4: Simplify right side
    292,214.40x = 46,130,312,471.04
  5. Step 5: Solve for x
    x = 46,130,312,471.04/292,214.40
  6. Step 6: Final answer
    x = 157,864.61

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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.