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Finding the Fourth Proportional to 305,281.80, 457,965.90 and 94,897.80

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Solution

The fourth proportional to 305,281.80, 457,965.90 and 94,897.80 is: 142,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,281.80 : 457,965.90 = 94,897.80 : x
  2. Step 2: Convert to fraction form
    305,281.80/457,965.90 = 94,897.80/x
  3. Step 3: Cross multiply
    305,281.80x = 457,965.90 × 94,897.80
  4. Step 4: Simplify right side
    305,281.80x = 43,459,956,385.02
  5. Step 5: Solve for x
    x = 43,459,956,385.02/305,281.80
  6. Step 6: Final answer
    x = 142,360.13

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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.