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Finding the Fourth Proportional to 209,810.84, 314,774.66 and 91,492.60

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Solution

The fourth proportional to 209,810.84, 314,774.66 and 91,492.60 is: 137,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,810.84 : 314,774.66 = 91,492.60 : x
  2. Step 2: Convert to fraction form
    209,810.84/314,774.66 = 91,492.60/x
  3. Step 3: Cross multiply
    209,810.84x = 314,774.66 × 91,492.60
  4. Step 4: Simplify right side
    209,810.84x = 28,799,552,057.52
  5. Step 5: Solve for x
    x = 28,799,552,057.52/209,810.84
  6. Step 6: Final answer
    x = 137,264.37

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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.