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Finding the Fourth Proportional to 229,091, 316,283.82 and 149,741.24

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Solution

The fourth proportional to 229,091, 316,283.82 and 149,741.24 is: 206,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,091 : 316,283.82 = 149,741.24 : x
  2. Step 2: Convert to fraction form
    229,091/316,283.82 = 149,741.24/x
  3. Step 3: Cross multiply
    229,091x = 316,283.82 × 149,741.24
  4. Step 4: Simplify right side
    229,091x = 47,360,731,398.74
  5. Step 5: Solve for x
    x = 47,360,731,398.74/229,091
  6. Step 6: Final answer
    x = 206,733.27

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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.