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Finding the Fourth Proportional to 208,326.93, 287,490.29 and 116,446.11

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Solution

The fourth proportional to 208,326.93, 287,490.29 and 116,446.11 is: 160,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,326.93 : 287,490.29 = 116,446.11 : x
  2. Step 2: Convert to fraction form
    208,326.93/287,490.29 = 116,446.11/x
  3. Step 3: Cross multiply
    208,326.93x = 287,490.29 × 116,446.11
  4. Step 4: Simplify right side
    208,326.93x = 33,477,125,351.04
  5. Step 5: Solve for x
    x = 33,477,125,351.04/208,326.93
  6. Step 6: Final answer
    x = 160,695.14

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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.