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Finding the Fourth Proportional to 223,205.60, 334,808.40 and 202,210.40

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Solution

The fourth proportional to 223,205.60, 334,808.40 and 202,210.40 is: 303,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,205.60 : 334,808.40 = 202,210.40 : x
  2. Step 2: Convert to fraction form
    223,205.60/334,808.40 = 202,210.40/x
  3. Step 3: Cross multiply
    223,205.60x = 334,808.40 × 202,210.40
  4. Step 4: Simplify right side
    223,205.60x = 67,701,740,487.36
  5. Step 5: Solve for x
    x = 67,701,740,487.36/223,205.60
  6. Step 6: Final answer
    x = 303,315.60

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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.