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Finding the Fourth Proportional to 145,852.30, 201,276.30 and 78,784.30

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Solution

The fourth proportional to 145,852.30, 201,276.30 and 78,784.30 is: 108,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,852.30 : 201,276.30 = 78,784.30 : x
  2. Step 2: Convert to fraction form
    145,852.30/201,276.30 = 78,784.30/x
  3. Step 3: Cross multiply
    145,852.30x = 201,276.30 × 78,784.30
  4. Step 4: Simplify right side
    145,852.30x = 15,857,412,402.09
  5. Step 5: Solve for x
    x = 15,857,412,402.09/145,852.30
  6. Step 6: Final answer
    x = 108,722.40

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