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Finding the Fourth Proportional to 209,483.19, 289,084.37 and 113,988.24

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Solution

The fourth proportional to 209,483.19, 289,084.37 and 113,988.24 is: 157,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483.19 : 289,084.37 = 113,988.24 : x
  2. Step 2: Convert to fraction form
    209,483.19/289,084.37 = 113,988.24/x
  3. Step 3: Cross multiply
    209,483.19x = 289,084.37 × 113,988.24
  4. Step 4: Simplify right side
    209,483.19x = 32,952,218,547.81
  5. Step 5: Solve for x
    x = 32,952,218,547.81/209,483.19
  6. Step 6: Final answer
    x = 157,302.45

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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.