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Finding the Fourth Proportional to 359,347, 539,018.34 and 93,106.84

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Solution

The fourth proportional to 359,347, 539,018.34 and 93,106.84 is: 139,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,347 : 539,018.34 = 93,106.84 : x
  2. Step 2: Convert to fraction form
    359,347/539,018.34 = 93,106.84/x
  3. Step 3: Cross multiply
    359,347x = 539,018.34 × 93,106.84
  4. Step 4: Simplify right side
    359,347x = 50,186,294,339.45
  5. Step 5: Solve for x
    x = 50,186,294,339.45/359,347
  6. Step 6: Final answer
    x = 139,659.70

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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.