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Finding the Fourth Proportional to 292,067.64, 403,053.36 and 157,931.64

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Solution

The fourth proportional to 292,067.64, 403,053.36 and 157,931.64 is: 217,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,067.64 : 403,053.36 = 157,931.64 : x
  2. Step 2: Convert to fraction form
    292,067.64/403,053.36 = 157,931.64/x
  3. Step 3: Cross multiply
    292,067.64x = 403,053.36 × 157,931.64
  4. Step 4: Simplify right side
    292,067.64x = 63,654,878,152.31
  5. Step 5: Solve for x
    x = 63,654,878,152.31/292,067.64
  6. Step 6: Final answer
    x = 217,945.67

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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.