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Finding the Fourth Proportional to 153,163.86, 229,762.20 and 46,547.61

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Solution

The fourth proportional to 153,163.86, 229,762.20 and 46,547.61 is: 69,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,163.86 : 229,762.20 = 46,547.61 : x
  2. Step 2: Convert to fraction form
    153,163.86/229,762.20 = 46,547.61/x
  3. Step 3: Cross multiply
    153,163.86x = 229,762.20 × 46,547.61
  4. Step 4: Simplify right side
    153,163.86x = 10,694,881,278.34
  5. Step 5: Solve for x
    x = 10,694,881,278.34/153,163.86
  6. Step 6: Final answer
    x = 69,826.40

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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.