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Finding the Fourth Proportional to 210,295.40, 290,206.13 and 114,802.07

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Solution

The fourth proportional to 210,295.40, 290,206.13 and 114,802.07 is: 158,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,295.40 : 290,206.13 = 114,802.07 : x
  2. Step 2: Convert to fraction form
    210,295.40/290,206.13 = 114,802.07/x
  3. Step 3: Cross multiply
    210,295.40x = 290,206.13 × 114,802.07
  4. Step 4: Simplify right side
    210,295.40x = 33,316,262,425.65
  5. Step 5: Solve for x
    x = 33,316,262,425.65/210,295.40
  6. Step 6: Final answer
    x = 158,426.02

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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.