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Finding the Fourth Proportional to 205,341.76, 283,368.56 and 114,699.36

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Solution

The fourth proportional to 205,341.76, 283,368.56 and 114,699.36 is: 158,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,341.76 : 283,368.56 = 114,699.36 : x
  2. Step 2: Convert to fraction form
    205,341.76/283,368.56 = 114,699.36/x
  3. Step 3: Cross multiply
    205,341.76x = 283,368.56 × 114,699.36
  4. Step 4: Simplify right side
    205,341.76x = 32,502,192,476.12
  5. Step 5: Solve for x
    x = 32,502,192,476.12/205,341.76
  6. Step 6: Final answer
    x = 158,283.40

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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.