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Finding the Fourth Proportional to 145,852.56, 201,276.54 and 78,784.56

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Solution

The fourth proportional to 145,852.56, 201,276.54 and 78,784.56 is: 108,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,852.56 : 201,276.54 = 78,784.56 : x
  2. Step 2: Convert to fraction form
    145,852.56/201,276.54 = 78,784.56/x
  3. Step 3: Cross multiply
    145,852.56x = 201,276.54 × 78,784.56
  4. Step 4: Simplify right side
    145,852.56x = 15,857,483,642.22
  5. Step 5: Solve for x
    x = 15,857,483,642.22/145,852.56
  6. Step 6: Final answer
    x = 108,722.70

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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.