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Finding the Fourth Proportional to 259,533, 358,155.54 and 140,301

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Solution

The fourth proportional to 259,533, 358,155.54 and 140,301 is: 193,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,533 : 358,155.54 = 140,301 : x
  2. Step 2: Convert to fraction form
    259,533/358,155.54 = 140,301/x
  3. Step 3: Cross multiply
    259,533x = 358,155.54 × 140,301
  4. Step 4: Simplify right side
    259,533x = 50,249,580,417.54
  5. Step 5: Solve for x
    x = 50,249,580,417.54/259,533
  6. Step 6: Final answer
    x = 193,615.38

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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.