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Finding the Fourth Proportional to 212,570.64, 293,341.48 and 115,772.30

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Solution

The fourth proportional to 212,570.64, 293,341.48 and 115,772.30 is: 159,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,570.64 : 293,341.48 = 115,772.30 : x
  2. Step 2: Convert to fraction form
    212,570.64/293,341.48 = 115,772.30/x
  3. Step 3: Cross multiply
    212,570.64x = 293,341.48 × 115,772.30
  4. Step 4: Simplify right side
    212,570.64x = 33,960,817,825.00
  5. Step 5: Solve for x
    x = 33,960,817,825.00/212,570.64
  6. Step 6: Final answer
    x = 159,762.50

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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.