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Finding the Fourth Proportional to 349,496.74, 524,347.16 and 139,165.66

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Solution

The fourth proportional to 349,496.74, 524,347.16 and 139,165.66 is: 208,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,496.74 : 524,347.16 = 139,165.66 : x
  2. Step 2: Convert to fraction form
    349,496.74/524,347.16 = 139,165.66/x
  3. Step 3: Cross multiply
    349,496.74x = 524,347.16 × 139,165.66
  4. Step 4: Simplify right side
    349,496.74x = 72,971,116,774.89
  5. Step 5: Solve for x
    x = 72,971,116,774.89/349,496.74
  6. Step 6: Final answer
    x = 208,789.12

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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.