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Finding the Fourth Proportional to 210,952.40, 316,453.14 and 74,133.45

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Solution

The fourth proportional to 210,952.40, 316,453.14 and 74,133.45 is: 111,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,952.40 : 316,453.14 = 74,133.45 : x
  2. Step 2: Convert to fraction form
    210,952.40/316,453.14 = 74,133.45/x
  3. Step 3: Cross multiply
    210,952.40x = 316,453.14 × 74,133.45
  4. Step 4: Simplify right side
    210,952.40x = 23,459,763,031.53
  5. Step 5: Solve for x
    x = 23,459,763,031.53/210,952.40
  6. Step 6: Final answer
    x = 111,208.80

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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.