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Finding the Fourth Proportional to 209,230.29, 314,029.51 and 114,547.77

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Solution

The fourth proportional to 209,230.29, 314,029.51 and 114,547.77 is: 171,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230.29 : 314,029.51 = 114,547.77 : x
  2. Step 2: Convert to fraction form
    209,230.29/314,029.51 = 114,547.77/x
  3. Step 3: Cross multiply
    209,230.29x = 314,029.51 × 114,547.77
  4. Step 4: Simplify right side
    209,230.29x = 35,971,379,798.32
  5. Step 5: Solve for x
    x = 35,971,379,798.32/209,230.29
  6. Step 6: Final answer
    x = 171,922.43

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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.