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Finding the Fourth Proportional to 212,102.40, 292,698.16 and 115,303.04

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Solution

The fourth proportional to 212,102.40, 292,698.16 and 115,303.04 is: 159,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,102.40 : 292,698.16 = 115,303.04 : x
  2. Step 2: Convert to fraction form
    212,102.40/292,698.16 = 115,303.04/x
  3. Step 3: Cross multiply
    212,102.40x = 292,698.16 × 115,303.04
  4. Step 4: Simplify right side
    212,102.40x = 33,748,987,650.41
  5. Step 5: Solve for x
    x = 33,748,987,650.41/212,102.40
  6. Step 6: Final answer
    x = 159,116.48

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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.