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Finding the Fourth Proportional to 209,938.02, 289,703.52 and 119,281.40

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Solution

The fourth proportional to 209,938.02, 289,703.52 and 119,281.40 is: 164,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938.02 : 289,703.52 = 119,281.40 : x
  2. Step 2: Convert to fraction form
    209,938.02/289,703.52 = 119,281.40/x
  3. Step 3: Cross multiply
    209,938.02x = 289,703.52 × 119,281.40
  4. Step 4: Simplify right side
    209,938.02x = 34,556,241,450.53
  5. Step 5: Solve for x
    x = 34,556,241,450.53/209,938.02
  6. Step 6: Final answer
    x = 164,602.11

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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.