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Finding the Fourth Proportional to 194,810.90, 292,216.35 and 106,237.40

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Solution

The fourth proportional to 194,810.90, 292,216.35 and 106,237.40 is: 159,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,810.90 : 292,216.35 = 106,237.40 : x
  2. Step 2: Convert to fraction form
    194,810.90/292,216.35 = 106,237.40/x
  3. Step 3: Cross multiply
    194,810.90x = 292,216.35 × 106,237.40
  4. Step 4: Simplify right side
    194,810.90x = 31,044,305,261.49
  5. Step 5: Solve for x
    x = 31,044,305,261.49/194,810.90
  6. Step 6: Final answer
    x = 159,356.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.