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Finding the Fourth Proportional to 210,210.90, 314,909.88 and 176,071.52

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Solution

The fourth proportional to 210,210.90, 314,909.88 and 176,071.52 is: 263,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,210.90 : 314,909.88 = 176,071.52 : x
  2. Step 2: Convert to fraction form
    210,210.90/314,909.88 = 176,071.52/x
  3. Step 3: Cross multiply
    210,210.90x = 314,909.88 × 176,071.52
  4. Step 4: Simplify right side
    210,210.90x = 55,446,661,361.62
  5. Step 5: Solve for x
    x = 55,446,661,361.62/210,210.90
  6. Step 6: Final answer
    x = 263,766.83

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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.