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Finding the Fourth Proportional to 301,242.40, 451,865.14 and 101,564.51

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Solution

The fourth proportional to 301,242.40, 451,865.14 and 101,564.51 is: 152,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,242.40 : 451,865.14 = 101,564.51 : x
  2. Step 2: Convert to fraction form
    301,242.40/451,865.14 = 101,564.51/x
  3. Step 3: Cross multiply
    301,242.40x = 451,865.14 × 101,564.51
  4. Step 4: Simplify right side
    301,242.40x = 45,893,461,530.18
  5. Step 5: Solve for x
    x = 45,893,461,530.18/301,242.40
  6. Step 6: Final answer
    x = 152,347.29

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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.