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Finding the Fourth Proportional to 301,533.84, 452,349.36 and 91,154.16

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Solution

The fourth proportional to 301,533.84, 452,349.36 and 91,154.16 is: 136,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,533.84 : 452,349.36 = 91,154.16 : x
  2. Step 2: Convert to fraction form
    301,533.84/452,349.36 = 91,154.16/x
  3. Step 3: Cross multiply
    301,533.84x = 452,349.36 × 91,154.16
  4. Step 4: Simplify right side
    301,533.84x = 41,233,525,937.34
  5. Step 5: Solve for x
    x = 41,233,525,937.34/301,533.84
  6. Step 6: Final answer
    x = 136,745.93

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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.