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Finding the Fourth Proportional to 256,090.98, 353,258.10 and 148,647.18

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Solution

The fourth proportional to 256,090.98, 353,258.10 and 148,647.18 is: 205,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,090.98 : 353,258.10 = 148,647.18 : x
  2. Step 2: Convert to fraction form
    256,090.98/353,258.10 = 148,647.18/x
  3. Step 3: Cross multiply
    256,090.98x = 353,258.10 × 148,647.18
  4. Step 4: Simplify right side
    256,090.98x = 52,510,820,377.16
  5. Step 5: Solve for x
    x = 52,510,820,377.16/256,090.98
  6. Step 6: Final answer
    x = 205,047.52

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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.