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Finding the Fourth Proportional to 286,593.32, 429,894.11 and 109,110.08

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Solution

The fourth proportional to 286,593.32, 429,894.11 and 109,110.08 is: 163,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,593.32 : 429,894.11 = 109,110.08 : x
  2. Step 2: Convert to fraction form
    286,593.32/429,894.11 = 109,110.08/x
  3. Step 3: Cross multiply
    286,593.32x = 429,894.11 × 109,110.08
  4. Step 4: Simplify right side
    286,593.32x = 46,905,778,038.61
  5. Step 5: Solve for x
    x = 46,905,778,038.61/286,593.32
  6. Step 6: Final answer
    x = 163,666.69

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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.