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Finding the Fourth Proportional to 188,480, 282,703.40 and 113,094.08

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Solution

The fourth proportional to 188,480, 282,703.40 and 113,094.08 is: 169,631.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,480 : 282,703.40 = 113,094.08 : x
  2. Step 2: Convert to fraction form
    188,480/282,703.40 = 113,094.08/x
  3. Step 3: Cross multiply
    188,480x = 282,703.40 × 113,094.08
  4. Step 4: Simplify right side
    188,480x = 31,972,080,935.87
  5. Step 5: Solve for x
    x = 31,972,080,935.87/188,480
  6. Step 6: Final answer
    x = 169,631.16

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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.