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Finding the Fourth Proportional to 210,176.10, 290,047.23 and 114,686.82

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Solution

The fourth proportional to 210,176.10, 290,047.23 and 114,686.82 is: 158,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,176.10 : 290,047.23 = 114,686.82 : x
  2. Step 2: Convert to fraction form
    210,176.10/290,047.23 = 114,686.82/x
  3. Step 3: Cross multiply
    210,176.10x = 290,047.23 × 114,686.82
  4. Step 4: Simplify right side
    210,176.10x = 33,264,594,458.51
  5. Step 5: Solve for x
    x = 33,264,594,458.51/210,176.10
  6. Step 6: Final answer
    x = 158,270.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.