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Finding the Fourth Proportional to 150,602.40, 225,972.54 and 65,239.35

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Solution

The fourth proportional to 150,602.40, 225,972.54 and 65,239.35 is: 97,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,602.40 : 225,972.54 = 65,239.35 : x
  2. Step 2: Convert to fraction form
    150,602.40/225,972.54 = 65,239.35/x
  3. Step 3: Cross multiply
    150,602.40x = 225,972.54 × 65,239.35
  4. Step 4: Simplify right side
    150,602.40x = 14,742,301,627.45
  5. Step 5: Solve for x
    x = 14,742,301,627.45/150,602.40
  6. Step 6: Final answer
    x = 97,888.89

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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.