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Finding the Fourth Proportional to 209,276.84, 288,802.74 and 113,783.24

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Solution

The fourth proportional to 209,276.84, 288,802.74 and 113,783.24 is: 157,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,276.84 : 288,802.74 = 113,783.24 : x
  2. Step 2: Convert to fraction form
    209,276.84/288,802.74 = 113,783.24/x
  3. Step 3: Cross multiply
    209,276.84x = 288,802.74 × 113,783.24
  4. Step 4: Simplify right side
    209,276.84x = 32,860,911,478.08
  5. Step 5: Solve for x
    x = 32,860,911,478.08/209,276.84
  6. Step 6: Final answer
    x = 157,021.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.