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Finding the Fourth Proportional to 364,071.30, 546,106.49 and 97,831.82

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Solution

The fourth proportional to 364,071.30, 546,106.49 and 97,831.82 is: 146,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,071.30 : 546,106.49 = 97,831.82 : x
  2. Step 2: Convert to fraction form
    364,071.30/546,106.49 = 97,831.82/x
  3. Step 3: Cross multiply
    364,071.30x = 546,106.49 × 97,831.82
  4. Step 4: Simplify right side
    364,071.30x = 53,426,591,830.51
  5. Step 5: Solve for x
    x = 53,426,591,830.51/364,071.30
  6. Step 6: Final answer
    x = 146,747.61

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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.