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Finding the Fourth Proportional to 153,384.94, 211,638.68 and 96,763.50

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Solution

The fourth proportional to 153,384.94, 211,638.68 and 96,763.50 is: 133,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,384.94 : 211,638.68 = 96,763.50 : x
  2. Step 2: Convert to fraction form
    153,384.94/211,638.68 = 96,763.50/x
  3. Step 3: Cross multiply
    153,384.94x = 211,638.68 × 96,763.50
  4. Step 4: Simplify right side
    153,384.94x = 20,478,899,412.18
  5. Step 5: Solve for x
    x = 20,478,899,412.18/153,384.94
  6. Step 6: Final answer
    x = 133,513.10

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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.