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Finding the Fourth Proportional to 160,030.54, 239,877.30 and 53,385.94

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Solution

The fourth proportional to 160,030.54, 239,877.30 and 53,385.94 is: 80,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,030.54 : 239,877.30 = 53,385.94 : x
  2. Step 2: Convert to fraction form
    160,030.54/239,877.30 = 53,385.94/x
  3. Step 3: Cross multiply
    160,030.54x = 239,877.30 × 53,385.94
  4. Step 4: Simplify right side
    160,030.54x = 12,806,075,145.16
  5. Step 5: Solve for x
    x = 12,806,075,145.16/160,030.54
  6. Step 6: Final answer
    x = 80,022.70

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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.