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Finding the Fourth Proportional to 301,505.32, 452,161.95 and 99,054.42

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Solution

The fourth proportional to 301,505.32, 452,161.95 and 99,054.42 is: 148,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,505.32 : 452,161.95 = 99,054.42 : x
  2. Step 2: Convert to fraction form
    301,505.32/452,161.95 = 99,054.42/x
  3. Step 3: Cross multiply
    301,505.32x = 452,161.95 × 99,054.42
  4. Step 4: Simplify right side
    301,505.32x = 44,788,639,703.32
  5. Step 5: Solve for x
    x = 44,788,639,703.32/301,505.32
  6. Step 6: Final answer
    x = 148,550.08

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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.