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Finding the Fourth Proportional to 164,830.96, 247,347.96 and 64,974.16

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Solution

The fourth proportional to 164,830.96, 247,347.96 and 64,974.16 is: 97,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,830.96 : 247,347.96 = 64,974.16 : x
  2. Step 2: Convert to fraction form
    164,830.96/247,347.96 = 64,974.16/x
  3. Step 3: Cross multiply
    164,830.96x = 247,347.96 × 64,974.16
  4. Step 4: Simplify right side
    164,830.96x = 16,071,225,928.71
  5. Step 5: Solve for x
    x = 16,071,225,928.71/164,830.96
  6. Step 6: Final answer
    x = 97,501.26

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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.