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Finding the Fourth Proportional to 292,090.64, 403,085.13 and 157,954.64

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Solution

The fourth proportional to 292,090.64, 403,085.13 and 157,954.64 is: 217,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,090.64 : 403,085.13 = 157,954.64 : x
  2. Step 2: Convert to fraction form
    292,090.64/403,085.13 = 157,954.64/x
  3. Step 3: Cross multiply
    292,090.64x = 403,085.13 × 157,954.64
  4. Step 4: Simplify right side
    292,090.64x = 63,669,166,598.50
  5. Step 5: Solve for x
    x = 63,669,166,598.50/292,090.64
  6. Step 6: Final answer
    x = 217,977.43

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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.