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Finding the Fourth Proportional to 213,916.76, 295,208.64 and 117,119

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Solution

The fourth proportional to 213,916.76, 295,208.64 and 117,119 is: 161,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,916.76 : 295,208.64 = 117,119 : x
  2. Step 2: Convert to fraction form
    213,916.76/295,208.64 = 117,119/x
  3. Step 3: Cross multiply
    213,916.76x = 295,208.64 × 117,119
  4. Step 4: Simplify right side
    213,916.76x = 34,574,540,708.16
  5. Step 5: Solve for x
    x = 34,574,540,708.16/213,916.76
  6. Step 6: Final answer
    x = 161,626.14

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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.