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Finding the Fourth Proportional to 153,281.16, 229,946.04 and 48,075.12

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Solution

The fourth proportional to 153,281.16, 229,946.04 and 48,075.12 is: 72,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,281.16 : 229,946.04 = 48,075.12 : x
  2. Step 2: Convert to fraction form
    153,281.16/229,946.04 = 48,075.12/x
  3. Step 3: Cross multiply
    153,281.16x = 229,946.04 × 48,075.12
  4. Step 4: Simplify right side
    153,281.16x = 11,054,683,466.52
  5. Step 5: Solve for x
    x = 11,054,683,466.52/153,281.16
  6. Step 6: Final answer
    x = 72,120.30

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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.