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Finding the Fourth Proportional to 254,122.64, 350,459.76 and 158,638.16

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Solution

The fourth proportional to 254,122.64, 350,459.76 and 158,638.16 is: 218,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,122.64 : 350,459.76 = 158,638.16 : x
  2. Step 2: Convert to fraction form
    254,122.64/350,459.76 = 158,638.16/x
  3. Step 3: Cross multiply
    254,122.64x = 350,459.76 × 158,638.16
  4. Step 4: Simplify right side
    254,122.64x = 55,596,291,480.44
  5. Step 5: Solve for x
    x = 55,596,291,480.44/254,122.64
  6. Step 6: Final answer
    x = 218,777.40

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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.