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Finding the Fourth Proportional to 292,109.47, 403,112.28 and 157,973.47

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Solution

The fourth proportional to 292,109.47, 403,112.28 and 157,973.47 is: 218,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109.47 : 403,112.28 = 157,973.47 : x
  2. Step 2: Convert to fraction form
    292,109.47/403,112.28 = 157,973.47/x
  3. Step 3: Cross multiply
    292,109.47x = 403,112.28 × 157,973.47
  4. Step 4: Simplify right side
    292,109.47x = 63,681,045,671.21
  5. Step 5: Solve for x
    x = 63,681,045,671.21/292,109.47
  6. Step 6: Final answer
    x = 218,004.04

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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.