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Finding the Fourth Proportional to 302,045.75, 416,814.32 and 166,079.55

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Solution

The fourth proportional to 302,045.75, 416,814.32 and 166,079.55 is: 229,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.75 : 416,814.32 = 166,079.55 : x
  2. Step 2: Convert to fraction form
    302,045.75/416,814.32 = 166,079.55/x
  3. Step 3: Cross multiply
    302,045.75x = 416,814.32 × 166,079.55
  4. Step 4: Simplify right side
    302,045.75x = 69,224,334,699.16
  5. Step 5: Solve for x
    x = 69,224,334,699.16/302,045.75
  6. Step 6: Final answer
    x = 229,184.93

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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.