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Finding the Fourth Proportional to 208,351.16, 287,509.70 and 122,313.68

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Solution

The fourth proportional to 208,351.16, 287,509.70 and 122,313.68 is: 168,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,351.16 : 287,509.70 = 122,313.68 : x
  2. Step 2: Convert to fraction form
    208,351.16/287,509.70 = 122,313.68/x
  3. Step 3: Cross multiply
    208,351.16x = 287,509.70 × 122,313.68
  4. Step 4: Simplify right side
    208,351.16x = 35,166,369,442.70
  5. Step 5: Solve for x
    x = 35,166,369,442.70/208,351.16
  6. Step 6: Final answer
    x = 168,784.13

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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.