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Finding the Fourth Proportional to 301,966.56, 452,954.16 and 114,988.32

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Solution

The fourth proportional to 301,966.56, 452,954.16 and 114,988.32 is: 172,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,966.56 : 452,954.16 = 114,988.32 : x
  2. Step 2: Convert to fraction form
    301,966.56/452,954.16 = 114,988.32/x
  3. Step 3: Cross multiply
    301,966.56x = 452,954.16 × 114,988.32
  4. Step 4: Simplify right side
    301,966.56x = 52,084,437,895.41
  5. Step 5: Solve for x
    x = 52,084,437,895.41/301,966.56
  6. Step 6: Final answer
    x = 172,484.13

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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.