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Finding the Fourth Proportional to 242,737.32, 364,066.94 and 102,477.72

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Solution

The fourth proportional to 242,737.32, 364,066.94 and 102,477.72 is: 153,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,737.32 : 364,066.94 = 102,477.72 : x
  2. Step 2: Convert to fraction form
    242,737.32/364,066.94 = 102,477.72/x
  3. Step 3: Cross multiply
    242,737.32x = 364,066.94 × 102,477.72
  4. Step 4: Simplify right side
    242,737.32x = 37,308,749,938.58
  5. Step 5: Solve for x
    x = 37,308,749,938.58/242,737.32
  6. Step 6: Final answer
    x = 153,700.10

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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.