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Finding the Fourth Proportional to 208,113.94, 287,197.14 and 117,488.71

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Solution

The fourth proportional to 208,113.94, 287,197.14 and 117,488.71 is: 162,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,113.94 : 287,197.14 = 117,488.71 : x
  2. Step 2: Convert to fraction form
    208,113.94/287,197.14 = 117,488.71/x
  3. Step 3: Cross multiply
    208,113.94x = 287,197.14 × 117,488.71
  4. Step 4: Simplify right side
    208,113.94x = 33,742,421,494.29
  5. Step 5: Solve for x
    x = 33,742,421,494.29/208,113.94
  6. Step 6: Final answer
    x = 162,134.36

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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.