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Finding the Fourth Proportional to 210,094.40, 290,307.84 and 159,705.92

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Solution

The fourth proportional to 210,094.40, 290,307.84 and 159,705.92 is: 220,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.40 : 290,307.84 = 159,705.92 : x
  2. Step 2: Convert to fraction form
    210,094.40/290,307.84 = 159,705.92/x
  3. Step 3: Cross multiply
    210,094.40x = 290,307.84 × 159,705.92
  4. Step 4: Simplify right side
    210,094.40x = 46,363,880,670.41
  5. Step 5: Solve for x
    x = 46,363,880,670.41/210,094.40
  6. Step 6: Final answer
    x = 220,681.18

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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.