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Finding the Fourth Proportional to 291,675.94, 402,513.06 and 157,539.94

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Solution

The fourth proportional to 291,675.94, 402,513.06 and 157,539.94 is: 217,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,675.94 : 402,513.06 = 157,539.94 : x
  2. Step 2: Convert to fraction form
    291,675.94/402,513.06 = 157,539.94/x
  3. Step 3: Cross multiply
    291,675.94x = 402,513.06 × 157,539.94
  4. Step 4: Simplify right side
    291,675.94x = 63,411,882,906.11
  5. Step 5: Solve for x
    x = 63,411,882,906.11/291,675.94
  6. Step 6: Final answer
    x = 217,405.26

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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.