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Finding the Fourth Proportional to 123,164.42, 184,746.62 and 70,537.10

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Solution

The fourth proportional to 123,164.42, 184,746.62 and 70,537.10 is: 105,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,164.42 : 184,746.62 = 70,537.10 : x
  2. Step 2: Convert to fraction form
    123,164.42/184,746.62 = 70,537.10/x
  3. Step 3: Cross multiply
    123,164.42x = 184,746.62 × 70,537.10
  4. Step 4: Simplify right side
    123,164.42x = 13,031,490,062.21
  5. Step 5: Solve for x
    x = 13,031,490,062.21/123,164.42
  6. Step 6: Final answer
    x = 105,805.64

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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.