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Finding the Fourth Proportional to 292,109.56, 403,112.40 and 157,973.56

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Solution

The fourth proportional to 292,109.56, 403,112.40 and 157,973.56 is: 218,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109.56 : 403,112.40 = 157,973.56 : x
  2. Step 2: Convert to fraction form
    292,109.56/403,112.40 = 157,973.56/x
  3. Step 3: Cross multiply
    292,109.56x = 403,112.40 × 157,973.56
  4. Step 4: Simplify right side
    292,109.56x = 63,681,100,196.56
  5. Step 5: Solve for x
    x = 63,681,100,196.56/292,109.56
  6. Step 6: Final answer
    x = 218,004.17

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1.5x scale

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.