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Finding the Fourth Proportional to 145,975.71, 201,446.37 and 78,907.71

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Solution

The fourth proportional to 145,975.71, 201,446.37 and 78,907.71 is: 108,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,975.71 : 201,446.37 = 78,907.71 : x
  2. Step 2: Convert to fraction form
    145,975.71/201,446.37 = 78,907.71/x
  3. Step 3: Cross multiply
    145,975.71x = 201,446.37 × 78,907.71
  4. Step 4: Simplify right side
    145,975.71x = 15,895,671,744.51
  5. Step 5: Solve for x
    x = 15,895,671,744.51/145,975.71
  6. Step 6: Final answer
    x = 108,892.58

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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.