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Finding the Fourth Proportional to 223,386.90, 334,891.94 and 96,931.84

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Solution

The fourth proportional to 223,386.90, 334,891.94 and 96,931.84 is: 145,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,386.90 : 334,891.94 = 96,931.84 : x
  2. Step 2: Convert to fraction form
    223,386.90/334,891.94 = 96,931.84/x
  3. Step 3: Cross multiply
    223,386.90x = 334,891.94 × 96,931.84
  4. Step 4: Simplify right side
    223,386.90x = 32,461,691,945.37
  5. Step 5: Solve for x
    x = 32,461,691,945.37/223,386.90
  6. Step 6: Final answer
    x = 145,316.01

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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.