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Finding the Fourth Proportional to 210,528.68, 290,533.38 and 115,039.40

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Solution

The fourth proportional to 210,528.68, 290,533.38 and 115,039.40 is: 158,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,528.68 : 290,533.38 = 115,039.40 : x
  2. Step 2: Convert to fraction form
    210,528.68/290,533.38 = 115,039.40/x
  3. Step 3: Cross multiply
    210,528.68x = 290,533.38 × 115,039.40
  4. Step 4: Simplify right side
    210,528.68x = 33,422,785,715.17
  5. Step 5: Solve for x
    x = 33,422,785,715.17/210,528.68
  6. Step 6: Final answer
    x = 158,756.45

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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.