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Finding the Fourth Proportional to 277,565.16, 416,368.80 and 109,004.16

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Solution

The fourth proportional to 277,565.16, 416,368.80 and 109,004.16 is: 163,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,565.16 : 416,368.80 = 109,004.16 : x
  2. Step 2: Convert to fraction form
    277,565.16/416,368.80 = 109,004.16/x
  3. Step 3: Cross multiply
    277,565.16x = 416,368.80 × 109,004.16
  4. Step 4: Simplify right side
    277,565.16x = 45,385,931,294.21
  5. Step 5: Solve for x
    x = 45,385,931,294.21/277,565.16
  6. Step 6: Final answer
    x = 163,514.51

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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.