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Finding the Fourth Proportional to 133,465.92, 200,254.68 and 58,547.40

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Solution

The fourth proportional to 133,465.92, 200,254.68 and 58,547.40 is: 87,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,465.92 : 200,254.68 = 58,547.40 : x
  2. Step 2: Convert to fraction form
    133,465.92/200,254.68 = 58,547.40/x
  3. Step 3: Cross multiply
    133,465.92x = 200,254.68 × 58,547.40
  4. Step 4: Simplify right side
    133,465.92x = 11,724,390,851.83
  5. Step 5: Solve for x
    x = 11,724,390,851.83/133,465.92
  6. Step 6: Final answer
    x = 87,845.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.