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Finding the Fourth Proportional to 157,004.32, 216,556.17 and 103,272.16

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Solution

The fourth proportional to 157,004.32, 216,556.17 and 103,272.16 is: 142,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,004.32 : 216,556.17 = 103,272.16 : x
  2. Step 2: Convert to fraction form
    157,004.32/216,556.17 = 103,272.16/x
  3. Step 3: Cross multiply
    157,004.32x = 216,556.17 × 103,272.16
  4. Step 4: Simplify right side
    157,004.32x = 22,364,223,437.23
  5. Step 5: Solve for x
    x = 22,364,223,437.23/157,004.32
  6. Step 6: Final answer
    x = 142,443.36

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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.