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Finding the Fourth Proportional to 210,501.64, 290,477.10 and 114,988.06

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Solution

The fourth proportional to 210,501.64, 290,477.10 and 114,988.06 is: 158,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,501.64 : 290,477.10 = 114,988.06 : x
  2. Step 2: Convert to fraction form
    210,501.64/290,477.10 = 114,988.06/x
  3. Step 3: Cross multiply
    210,501.64x = 290,477.10 × 114,988.06
  4. Step 4: Simplify right side
    210,501.64x = 33,401,398,203.43
  5. Step 5: Solve for x
    x = 33,401,398,203.43/210,501.64
  6. Step 6: Final answer
    x = 158,675.24

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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.