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Finding the Fourth Proportional to 292,783.50, 404,041.50 and 158,647.50

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Solution

The fourth proportional to 292,783.50, 404,041.50 and 158,647.50 is: 218,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,783.50 : 404,041.50 = 158,647.50 : x
  2. Step 2: Convert to fraction form
    292,783.50/404,041.50 = 158,647.50/x
  3. Step 3: Cross multiply
    292,783.50x = 404,041.50 × 158,647.50
  4. Step 4: Simplify right side
    292,783.50x = 64,100,173,871.25
  5. Step 5: Solve for x
    x = 64,100,173,871.25/292,783.50
  6. Step 6: Final answer
    x = 218,933.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.