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Finding the Fourth Proportional to 229,051.17, 343,410.64 and 153,985.10

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Solution

The fourth proportional to 229,051.17, 343,410.64 and 153,985.10 is: 230,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,051.17 : 343,410.64 = 153,985.10 : x
  2. Step 2: Convert to fraction form
    229,051.17/343,410.64 = 153,985.10/x
  3. Step 3: Cross multiply
    229,051.17x = 343,410.64 × 153,985.10
  4. Step 4: Simplify right side
    229,051.17x = 52,880,119,639.45
  5. Step 5: Solve for x
    x = 52,880,119,639.45/229,051.17
  6. Step 6: Final answer
    x = 230,865.97

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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.