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Finding the Fourth Proportional to 184,854, 255,097.44 and 99,970.80

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Solution

The fourth proportional to 184,854, 255,097.44 and 99,970.80 is: 137,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,854 : 255,097.44 = 99,970.80 : x
  2. Step 2: Convert to fraction form
    184,854/255,097.44 = 99,970.80/x
  3. Step 3: Cross multiply
    184,854x = 255,097.44 × 99,970.80
  4. Step 4: Simplify right side
    184,854x = 25,502,295,154.75
  5. Step 5: Solve for x
    x = 25,502,295,154.75/184,854
  6. Step 6: Final answer
    x = 137,959.12

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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.