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Finding the Fourth Proportional to 357,017.10, 535,543.46 and 117,109.68

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Solution

The fourth proportional to 357,017.10, 535,543.46 and 117,109.68 is: 175,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,017.10 : 535,543.46 = 117,109.68 : x
  2. Step 2: Convert to fraction form
    357,017.10/535,543.46 = 117,109.68/x
  3. Step 3: Cross multiply
    357,017.10x = 535,543.46 × 117,109.68
  4. Step 4: Simplify right side
    357,017.10x = 62,717,323,226.69
  5. Step 5: Solve for x
    x = 62,717,323,226.69/357,017.10
  6. Step 6: Final answer
    x = 175,670.36

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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.