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Finding the Fourth Proportional to 209,406.16, 288,981.36 and 113,913.40

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Solution

The fourth proportional to 209,406.16, 288,981.36 and 113,913.40 is: 157,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406.16 : 288,981.36 = 113,913.40 : x
  2. Step 2: Convert to fraction form
    209,406.16/288,981.36 = 113,913.40/x
  3. Step 3: Cross multiply
    209,406.16x = 288,981.36 × 113,913.40
  4. Step 4: Simplify right side
    209,406.16x = 32,918,849,254.22
  5. Step 5: Solve for x
    x = 32,918,849,254.22/209,406.16
  6. Step 6: Final answer
    x = 157,200.96

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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.