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Finding the Fourth Proportional to 252,315.93, 378,045.45 and 152,265.89

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Solution

The fourth proportional to 252,315.93, 378,045.45 and 152,265.89 is: 228,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,315.93 : 378,045.45 = 152,265.89 : x
  2. Step 2: Convert to fraction form
    252,315.93/378,045.45 = 152,265.89/x
  3. Step 3: Cross multiply
    252,315.93x = 378,045.45 × 152,265.89
  4. Step 4: Simplify right side
    252,315.93x = 57,563,426,904.70
  5. Step 5: Solve for x
    x = 57,563,426,904.70/252,315.93
  6. Step 6: Final answer
    x = 228,140.28

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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.