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Finding the Fourth Proportional to 223,829.30, 335,803.35 and 97,415.30

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Solution

The fourth proportional to 223,829.30, 335,803.35 and 97,415.30 is: 146,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,829.30 : 335,803.35 = 97,415.30 : x
  2. Step 2: Convert to fraction form
    223,829.30/335,803.35 = 97,415.30/x
  3. Step 3: Cross multiply
    223,829.30x = 335,803.35 × 97,415.30
  4. Step 4: Simplify right side
    223,829.30x = 32,712,384,081.26
  5. Step 5: Solve for x
    x = 32,712,384,081.26/223,829.30
  6. Step 6: Final answer
    x = 146,148.80

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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.