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Finding the Fourth Proportional to 97,802.40, 146,746.80 and 45,184.80

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Solution

The fourth proportional to 97,802.40, 146,746.80 and 45,184.80 is: 67,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802.40 : 146,746.80 = 45,184.80 : x
  2. Step 2: Convert to fraction form
    97,802.40/146,746.80 = 45,184.80/x
  3. Step 3: Cross multiply
    97,802.40x = 146,746.80 × 45,184.80
  4. Step 4: Simplify right side
    97,802.40x = 6,630,724,808.64
  5. Step 5: Solve for x
    x = 6,630,724,808.64/97,802.40
  6. Step 6: Final answer
    x = 67,797.16

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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.