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Finding the Fourth Proportional to 283,111.64, 390,492.15 and 174,073.08

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Solution

The fourth proportional to 283,111.64, 390,492.15 and 174,073.08 is: 240,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,111.64 : 390,492.15 = 174,073.08 : x
  2. Step 2: Convert to fraction form
    283,111.64/390,492.15 = 174,073.08/x
  3. Step 3: Cross multiply
    283,111.64x = 390,492.15 × 174,073.08
  4. Step 4: Simplify right side
    283,111.64x = 67,974,171,266.32
  5. Step 5: Solve for x
    x = 67,974,171,266.32/283,111.64
  6. Step 6: Final answer
    x = 240,096.71

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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.