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Finding the Fourth Proportional to 205,445.86, 283,509.85 and 114,802.57

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Solution

The fourth proportional to 205,445.86, 283,509.85 and 114,802.57 is: 158,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,445.86 : 283,509.85 = 114,802.57 : x
  2. Step 2: Convert to fraction form
    205,445.86/283,509.85 = 114,802.57/x
  3. Step 3: Cross multiply
    205,445.86x = 283,509.85 × 114,802.57
  4. Step 4: Simplify right side
    205,445.86x = 32,547,660,641.76
  5. Step 5: Solve for x
    x = 32,547,660,641.76/205,445.86
  6. Step 6: Final answer
    x = 158,424.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.