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Finding the Fourth Proportional to 119,323, 164,661.53 and 65,607.64

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Solution

The fourth proportional to 119,323, 164,661.53 and 65,607.64 is: 90,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,323 : 164,661.53 = 65,607.64 : x
  2. Step 2: Convert to fraction form
    119,323/164,661.53 = 65,607.64/x
  3. Step 3: Cross multiply
    119,323x = 164,661.53 × 65,607.64
  4. Step 4: Simplify right side
    119,323x = 10,803,054,054.05
  5. Step 5: Solve for x
    x = 10,803,054,054.05/119,323
  6. Step 6: Final answer
    x = 90,536.23

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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.