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Finding the Fourth Proportional to 186,438.53, 257,276.32 and 105,855.48

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Solution

The fourth proportional to 186,438.53, 257,276.32 and 105,855.48 is: 146,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438.53 : 257,276.32 = 105,855.48 : x
  2. Step 2: Convert to fraction form
    186,438.53/257,276.32 = 105,855.48/x
  3. Step 3: Cross multiply
    186,438.53x = 257,276.32 × 105,855.48
  4. Step 4: Simplify right side
    186,438.53x = 27,234,108,081.59
  5. Step 5: Solve for x
    x = 27,234,108,081.59/186,438.53
  6. Step 6: Final answer
    x = 146,075.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.