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Finding the Fourth Proportional to 301,848.30, 452,746.14 and 102,164.22

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Solution

The fourth proportional to 301,848.30, 452,746.14 and 102,164.22 is: 153,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.30 : 452,746.14 = 102,164.22 : x
  2. Step 2: Convert to fraction form
    301,848.30/452,746.14 = 102,164.22/x
  3. Step 3: Cross multiply
    301,848.30x = 452,746.14 × 102,164.22
  4. Step 4: Simplify right side
    301,848.30x = 46,254,456,251.11
  5. Step 5: Solve for x
    x = 46,254,456,251.11/301,848.30
  6. Step 6: Final answer
    x = 153,237.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.