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Finding the Fourth Proportional to 242,802.18, 364,308.23 and 130,351.10

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Solution

The fourth proportional to 242,802.18, 364,308.23 and 130,351.10 is: 195,582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,802.18 : 364,308.23 = 130,351.10 : x
  2. Step 2: Convert to fraction form
    242,802.18/364,308.23 = 130,351.10/x
  3. Step 3: Cross multiply
    242,802.18x = 364,308.23 × 130,351.10
  4. Step 4: Simplify right side
    242,802.18x = 47,487,977,023.89
  5. Step 5: Solve for x
    x = 47,487,977,023.89/242,802.18
  6. Step 6: Final answer
    x = 195,582.99

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