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Finding the Fourth Proportional to 157,075.40, 219,439 and 157,075.40

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Solution

The fourth proportional to 157,075.40, 219,439 and 157,075.40 is: 219,439

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,075.40 : 219,439 = 157,075.40 : x
  2. Step 2: Convert to fraction form
    157,075.40/219,439 = 157,075.40/x
  3. Step 3: Cross multiply
    157,075.40x = 219,439 × 157,075.40
  4. Step 4: Simplify right side
    157,075.40x = 34,468,468,700.60
  5. Step 5: Solve for x
    x = 34,468,468,700.60/157,075.40
  6. Step 6: Final answer
    x = 219,439

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.