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Finding the Fourth Proportional to 256,075.80, 384,113.70 and 122,923.95

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Solution

The fourth proportional to 256,075.80, 384,113.70 and 122,923.95 is: 184,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,075.80 : 384,113.70 = 122,923.95 : x
  2. Step 2: Convert to fraction form
    256,075.80/384,113.70 = 122,923.95/x
  3. Step 3: Cross multiply
    256,075.80x = 384,113.70 × 122,923.95
  4. Step 4: Simplify right side
    256,075.80x = 47,216,773,253.12
  5. Step 5: Solve for x
    x = 47,216,773,253.12/256,075.80
  6. Step 6: Final answer
    x = 184,385.93

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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.