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Finding the Fourth Proportional to 296,142, 444,259.16 and 96,415.24

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Solution

The fourth proportional to 296,142, 444,259.16 and 96,415.24 is: 144,637.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,142 : 444,259.16 = 96,415.24 : x
  2. Step 2: Convert to fraction form
    296,142/444,259.16 = 96,415.24/x
  3. Step 3: Cross multiply
    296,142x = 444,259.16 × 96,415.24
  4. Step 4: Simplify right side
    296,142x = 42,833,353,533.60
  5. Step 5: Solve for x
    x = 42,833,353,533.60/296,142
  6. Step 6: Final answer
    x = 144,637.89

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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.