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Finding the Fourth Proportional to 259,055.84, 357,547.32 and 145,879.28

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Solution

The fourth proportional to 259,055.84, 357,547.32 and 145,879.28 is: 201,341.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,055.84 : 357,547.32 = 145,879.28 : x
  2. Step 2: Convert to fraction form
    259,055.84/357,547.32 = 145,879.28/x
  3. Step 3: Cross multiply
    259,055.84x = 357,547.32 × 145,879.28
  4. Step 4: Simplify right side
    259,055.84x = 52,158,745,607.53
  5. Step 5: Solve for x
    x = 52,158,745,607.53/259,055.84
  6. Step 6: Final answer
    x = 201,341.71

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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.