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Finding the Fourth Proportional to 144,973.02, 217,372.11 and 64,996.50

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Solution

The fourth proportional to 144,973.02, 217,372.11 and 64,996.50 is: 97,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,973.02 : 217,372.11 = 64,996.50 : x
  2. Step 2: Convert to fraction form
    144,973.02/217,372.11 = 64,996.50/x
  3. Step 3: Cross multiply
    144,973.02x = 217,372.11 × 64,996.50
  4. Step 4: Simplify right side
    144,973.02x = 14,128,426,347.62
  5. Step 5: Solve for x
    x = 14,128,426,347.62/144,973.02
  6. Step 6: Final answer
    x = 97,455.56

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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.