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Finding the Fourth Proportional to 210,970.35, 291,147.09 and 120,341.07

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Solution

The fourth proportional to 210,970.35, 291,147.09 and 120,341.07 is: 166,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.35 : 291,147.09 = 120,341.07 : x
  2. Step 2: Convert to fraction form
    210,970.35/291,147.09 = 120,341.07/x
  3. Step 3: Cross multiply
    210,970.35x = 291,147.09 × 120,341.07
  4. Step 4: Simplify right side
    210,970.35x = 35,036,952,337.99
  5. Step 5: Solve for x
    x = 35,036,952,337.99/210,970.35
  6. Step 6: Final answer
    x = 166,075.24

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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.