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Finding the Fourth Proportional to 214,547.85, 321,866.04 and 70,464.54

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Solution

The fourth proportional to 214,547.85, 321,866.04 and 70,464.54 is: 105,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,547.85 : 321,866.04 = 70,464.54 : x
  2. Step 2: Convert to fraction form
    214,547.85/321,866.04 = 70,464.54/x
  3. Step 3: Cross multiply
    214,547.85x = 321,866.04 × 70,464.54
  4. Step 4: Simplify right side
    214,547.85x = 22,680,142,450.22
  5. Step 5: Solve for x
    x = 22,680,142,450.22/214,547.85
  6. Step 6: Final answer
    x = 105,711.35

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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.