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Finding the Fourth Proportional to 213,905.29, 295,191.49 and 118,409.94

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Solution

The fourth proportional to 213,905.29, 295,191.49 and 118,409.94 is: 163,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.29 : 295,191.49 = 118,409.94 : x
  2. Step 2: Convert to fraction form
    213,905.29/295,191.49 = 118,409.94/x
  3. Step 3: Cross multiply
    213,905.29x = 295,191.49 × 118,409.94
  4. Step 4: Simplify right side
    213,905.29x = 34,953,606,619.41
  5. Step 5: Solve for x
    x = 34,953,606,619.41/213,905.29
  6. Step 6: Final answer
    x = 163,406.93

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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.