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Finding the Fourth Proportional to 194,807.30, 292,210.95 and 162,002.30

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Solution

The fourth proportional to 194,807.30, 292,210.95 and 162,002.30 is: 243,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807.30 : 292,210.95 = 162,002.30 : x
  2. Step 2: Convert to fraction form
    194,807.30/292,210.95 = 162,002.30/x
  3. Step 3: Cross multiply
    194,807.30x = 292,210.95 × 162,002.30
  4. Step 4: Simplify right side
    194,807.30x = 47,338,845,985.19
  5. Step 5: Solve for x
    x = 47,338,845,985.19/194,807.30
  6. Step 6: Final answer
    x = 243,003.45

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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.