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Finding the Fourth Proportional to 301,729.44, 452,652.40 and 114,726.32

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Solution

The fourth proportional to 301,729.44, 452,652.40 and 114,726.32 is: 172,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,729.44 : 452,652.40 = 114,726.32 : x
  2. Step 2: Convert to fraction form
    301,729.44/452,652.40 = 114,726.32/x
  3. Step 3: Cross multiply
    301,729.44x = 452,652.40 × 114,726.32
  4. Step 4: Simplify right side
    301,729.44x = 51,931,144,091.17
  5. Step 5: Solve for x
    x = 51,931,144,091.17/301,729.44
  6. Step 6: Final answer
    x = 172,111.62

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Why These Related Problems?

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