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Finding the Fourth Proportional to 209,688.60, 289,359.98 and 119,032.43

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Solution

The fourth proportional to 209,688.60, 289,359.98 and 119,032.43 is: 164,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,688.60 : 289,359.98 = 119,032.43 : x
  2. Step 2: Convert to fraction form
    209,688.60/289,359.98 = 119,032.43/x
  3. Step 3: Cross multiply
    209,688.60x = 289,359.98 × 119,032.43
  4. Step 4: Simplify right side
    209,688.60x = 34,443,219,522.19
  5. Step 5: Solve for x
    x = 34,443,219,522.19/209,688.60
  6. Step 6: Final answer
    x = 164,258.90

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1.5x scale

Why These Related Problems?

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