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Finding the Fourth Proportional to 137,702.77, 190,033.58 and 77,277.11

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Solution

The fourth proportional to 137,702.77, 190,033.58 and 77,277.11 is: 106,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,702.77 : 190,033.58 = 77,277.11 : x
  2. Step 2: Convert to fraction form
    137,702.77/190,033.58 = 77,277.11/x
  3. Step 3: Cross multiply
    137,702.77x = 190,033.58 × 77,277.11
  4. Step 4: Simplify right side
    137,702.77x = 14,685,245,108.38
  5. Step 5: Solve for x
    x = 14,685,245,108.38/137,702.77
  6. Step 6: Final answer
    x = 106,644.52

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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.