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Finding the Fourth Proportional to 301,968.80, 452,995.92 and 102,346.08

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Solution

The fourth proportional to 301,968.80, 452,995.92 and 102,346.08 is: 153,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,968.80 : 452,995.92 = 102,346.08 : x
  2. Step 2: Convert to fraction form
    301,968.80/452,995.92 = 102,346.08/x
  3. Step 3: Cross multiply
    301,968.80x = 452,995.92 × 102,346.08
  4. Step 4: Simplify right side
    301,968.80x = 46,362,356,667.99
  5. Step 5: Solve for x
    x = 46,362,356,667.99/301,968.80
  6. Step 6: Final answer
    x = 153,533.60

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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.