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Finding the Fourth Proportional to 237,492, 327,741.12 and 162,038.88

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Solution

The fourth proportional to 237,492, 327,741.12 and 162,038.88 is: 223,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,492 : 327,741.12 = 162,038.88 : x
  2. Step 2: Convert to fraction form
    237,492/327,741.12 = 162,038.88/x
  3. Step 3: Cross multiply
    237,492x = 327,741.12 × 162,038.88
  4. Step 4: Simplify right side
    237,492x = 53,106,804,014.75
  5. Step 5: Solve for x
    x = 53,106,804,014.75/237,492
  6. Step 6: Final answer
    x = 223,615.13

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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.