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Finding the Fourth Proportional to 283,145.24, 424,421.70 and 105,575

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Solution

The fourth proportional to 283,145.24, 424,421.70 and 105,575 is: 158,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,145.24 : 424,421.70 = 105,575 : x
  2. Step 2: Convert to fraction form
    283,145.24/424,421.70 = 105,575/x
  3. Step 3: Cross multiply
    283,145.24x = 424,421.70 × 105,575
  4. Step 4: Simplify right side
    283,145.24x = 44,808,320,977.50
  5. Step 5: Solve for x
    x = 44,808,320,977.50/283,145.24
  6. Step 6: Final answer
    x = 158,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.