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Finding the Fourth Proportional to 208,174.12, 287,285.54 and 127,646.01

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Solution

The fourth proportional to 208,174.12, 287,285.54 and 127,646.01 is: 176,154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,174.12 : 287,285.54 = 127,646.01 : x
  2. Step 2: Convert to fraction form
    208,174.12/287,285.54 = 127,646.01/x
  3. Step 3: Cross multiply
    208,174.12x = 287,285.54 × 127,646.01
  4. Step 4: Simplify right side
    208,174.12x = 36,670,852,273.47
  5. Step 5: Solve for x
    x = 36,670,852,273.47/208,174.12
  6. Step 6: Final answer
    x = 176,154.71

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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.