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Finding the Fourth Proportional to 122,159.40, 183,239.10 and 101,164.20

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Solution

The fourth proportional to 122,159.40, 183,239.10 and 101,164.20 is: 151,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,159.40 : 183,239.10 = 101,164.20 : x
  2. Step 2: Convert to fraction form
    122,159.40/183,239.10 = 101,164.20/x
  3. Step 3: Cross multiply
    122,159.40x = 183,239.10 × 101,164.20
  4. Step 4: Simplify right side
    122,159.40x = 18,537,236,960.22
  5. Step 5: Solve for x
    x = 18,537,236,960.22/122,159.40
  6. Step 6: Final answer
    x = 151,746.30

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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.