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Finding the Fourth Proportional to 153,196, 211,410.48 and 86,128.48

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Solution

The fourth proportional to 153,196, 211,410.48 and 86,128.48 is: 118,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,196 : 211,410.48 = 86,128.48 : x
  2. Step 2: Convert to fraction form
    153,196/211,410.48 = 86,128.48/x
  3. Step 3: Cross multiply
    153,196x = 211,410.48 × 86,128.48
  4. Step 4: Simplify right side
    153,196x = 18,208,463,298.47
  5. Step 5: Solve for x
    x = 18,208,463,298.47/153,196
  6. Step 6: Final answer
    x = 118,857.30

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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.