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Finding the Fourth Proportional to 210,457.89, 290,421.06 and 114,946.13

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Solution

The fourth proportional to 210,457.89, 290,421.06 and 114,946.13 is: 158,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,457.89 : 290,421.06 = 114,946.13 : x
  2. Step 2: Convert to fraction form
    210,457.89/290,421.06 = 114,946.13/x
  3. Step 3: Cross multiply
    210,457.89x = 290,421.06 × 114,946.13
  4. Step 4: Simplify right side
    210,457.89x = 33,382,777,643.55
  5. Step 5: Solve for x
    x = 33,382,777,643.55/210,457.89
  6. Step 6: Final answer
    x = 158,619.75

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1.5x scale

Why These Related Problems?

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