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Finding the Fourth Proportional to 282,136.34, 389,347.08 and 154,814.06

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Solution

The fourth proportional to 282,136.34, 389,347.08 and 154,814.06 is: 213,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,136.34 : 389,347.08 = 154,814.06 : x
  2. Step 2: Convert to fraction form
    282,136.34/389,347.08 = 154,814.06/x
  3. Step 3: Cross multiply
    282,136.34x = 389,347.08 × 154,814.06
  4. Step 4: Simplify right side
    282,136.34x = 60,276,402,203.94
  5. Step 5: Solve for x
    x = 60,276,402,203.94/282,136.34
  6. Step 6: Final answer
    x = 213,642.82

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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.