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Finding the Fourth Proportional to 224,678.16, 310,055.64 and 124,075.92

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Solution

The fourth proportional to 224,678.16, 310,055.64 and 124,075.92 is: 171,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,678.16 : 310,055.64 = 124,075.92 : x
  2. Step 2: Convert to fraction form
    224,678.16/310,055.64 = 124,075.92/x
  3. Step 3: Cross multiply
    224,678.16x = 310,055.64 × 124,075.92
  4. Step 4: Simplify right side
    224,678.16x = 38,470,438,784.19
  5. Step 5: Solve for x
    x = 38,470,438,784.19/224,678.16
  6. Step 6: Final answer
    x = 171,224.65

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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.