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Finding the Fourth Proportional to 153,201.42, 211,417.43 and 86,133.42

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Solution

The fourth proportional to 153,201.42, 211,417.43 and 86,133.42 is: 118,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,201.42 : 211,417.43 = 86,133.42 : x
  2. Step 2: Convert to fraction form
    153,201.42/211,417.43 = 86,133.42/x
  3. Step 3: Cross multiply
    153,201.42x = 211,417.43 × 86,133.42
  4. Step 4: Simplify right side
    153,201.42x = 18,210,106,293.51
  5. Step 5: Solve for x
    x = 18,210,106,293.51/153,201.42
  6. Step 6: Final answer
    x = 118,863.82

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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.