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Finding the Fourth Proportional to 213,653.72, 294,830.15 and 116,838.32

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Solution

The fourth proportional to 213,653.72, 294,830.15 and 116,838.32 is: 161,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,653.72 : 294,830.15 = 116,838.32 : x
  2. Step 2: Convert to fraction form
    213,653.72/294,830.15 = 116,838.32/x
  3. Step 3: Cross multiply
    213,653.72x = 294,830.15 × 116,838.32
  4. Step 4: Simplify right side
    213,653.72x = 34,447,457,353.01
  5. Step 5: Solve for x
    x = 34,447,457,353.01/213,653.72
  6. Step 6: Final answer
    x = 161,230.32

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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.