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Finding the Fourth Proportional to 259,903.31, 358,669.56 and 152,475.17

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Solution

The fourth proportional to 259,903.31, 358,669.56 and 152,475.17 is: 210,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,903.31 : 358,669.56 = 152,475.17 : x
  2. Step 2: Convert to fraction form
    259,903.31/358,669.56 = 152,475.17/x
  3. Step 3: Cross multiply
    259,903.31x = 358,669.56 × 152,475.17
  4. Step 4: Simplify right side
    259,903.31x = 54,688,200,341.48
  5. Step 5: Solve for x
    x = 54,688,200,341.48/259,903.31
  6. Step 6: Final answer
    x = 210,417.49

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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.