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Finding the Fourth Proportional to 213,230.64, 294,258.72 and 117,737.52

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Solution

The fourth proportional to 213,230.64, 294,258.72 and 117,737.52 is: 162,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,230.64 : 294,258.72 = 117,737.52 : x
  2. Step 2: Convert to fraction form
    213,230.64/294,258.72 = 117,737.52/x
  3. Step 3: Cross multiply
    213,230.64x = 294,258.72 × 117,737.52
  4. Step 4: Simplify right side
    213,230.64x = 34,645,291,931.17
  5. Step 5: Solve for x
    x = 34,645,291,931.17/213,230.64
  6. Step 6: Final answer
    x = 162,478.02

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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.