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Finding the Fourth Proportional to 209,597.68, 314,442.93 and 76,477.57

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Solution

The fourth proportional to 209,597.68, 314,442.93 and 76,477.57 is: 114,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597.68 : 314,442.93 = 76,477.57 : x
  2. Step 2: Convert to fraction form
    209,597.68/314,442.93 = 76,477.57/x
  3. Step 3: Cross multiply
    209,597.68x = 314,442.93 × 76,477.57
  4. Step 4: Simplify right side
    209,597.68x = 24,047,831,190.08
  5. Step 5: Solve for x
    x = 24,047,831,190.08/209,597.68
  6. Step 6: Final answer
    x = 114,733.29

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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.