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Finding the Fourth Proportional to 292,109.22, 403,111.94 and 157,973.22

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Solution

The fourth proportional to 292,109.22, 403,111.94 and 157,973.22 is: 218,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109.22 : 403,111.94 = 157,973.22 : x
  2. Step 2: Convert to fraction form
    292,109.22/403,111.94 = 157,973.22/x
  3. Step 3: Cross multiply
    292,109.22x = 403,111.94 × 157,973.22
  4. Step 4: Simplify right side
    292,109.22x = 63,680,890,787.31
  5. Step 5: Solve for x
    x = 63,680,890,787.31/292,109.22
  6. Step 6: Final answer
    x = 218,003.70

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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.