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Finding the Fourth Proportional to 233,802.16, 350,744.55 and 76,002.82

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Solution

The fourth proportional to 233,802.16, 350,744.55 and 76,002.82 is: 114,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,802.16 : 350,744.55 = 76,002.82 : x
  2. Step 2: Convert to fraction form
    233,802.16/350,744.55 = 76,002.82/x
  3. Step 3: Cross multiply
    233,802.16x = 350,744.55 × 76,002.82
  4. Step 4: Simplify right side
    233,802.16x = 26,657,574,899.63
  5. Step 5: Solve for x
    x = 26,657,574,899.63/233,802.16
  6. Step 6: Final answer
    x = 114,017.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.